LCM of Two Numbers Practice Problems with Answers

There are ten (10) practice problems here about how to find the Least Common Multiple (LCM) of Two Numbers. You can use any methods to find the answer such as the prime factorization method or list method. It’s up to you which one to utilize as long as you arrive at the correct answer. Good luck!


Problem 1: Find the LCM of [latex]4[/latex] and [latex]6[/latex].

Answer

The least common multiple (LCM) of [latex]4[/latex] and [latex]6[/latex] is [latex]\color{red}12[/latex].

The first 8 multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32.

The first 8 multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48.

Calculator check!

lcm(4,6) is 12

Problem 2: Find the LCM of [latex]3[/latex] and [latex]5[/latex].

Answer

The least common multiple (LCM) of [latex]3[/latex] and [latex]5[/latex] is [latex]\color{red}15[/latex].

The first 8 multiples of 3 are:
3, 6, 9, 12, 15, 18, 21, 24.

The first 8 multiples of 5 are:
5, 10, 15, 20, 25, 30, 35, 40.

Calculator check!

lcm(3,5) is 15

Problem 3: Find the LCM of [latex]8[/latex] and [latex]18[/latex].

Answer

The least common multiple (LCM) of [latex]8[/latex] and [latex]18[/latex] is [latex]\color{red}72[/latex].

The first 10 multiples of 8 are:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80.

The first 10 multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180.

Calculator check!

lcm(8,18) is 72

Problem 4: Find the LCM of [latex]14[/latex] and [latex]16[/latex].

Answer

The least common multiple (LCM) of [latex]14[/latex] and [latex]16[/latex] is [latex]\color{red}112[/latex].

The first 10 multiples of 14 are:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140.

The first 10 multiples of 16 are:
16, 32, 48, 64, 80, 96, 112, 128, 144, 160.

Calculator check!

lcm(14,16) is 112

Problem 5: Find the LCM of [latex]12[/latex] and [latex]15[/latex].

Answer

The least common multiple (LCM) of [latex]12[/latex] and [latex]15[/latex] is [latex]\color{red}60[/latex].

The first 10 multiples of 12 are:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.

The first 10 multiples of 15 are:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150.

Calculator check!

lcm(12,15) is 60

Problem 6: Find the LCM of [latex]18[/latex] and [latex]30[/latex].

Answer

The least common multiple (LCM) of [latex]18[/latex] and [latex]30[/latex] is [latex]\color{red}90[/latex].

The first 8 multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144.

The first 8 multiples of 30 are:
30, 60, 90, 120, 150, 180, 210, 240.

Calculator check!

lcm(18,30) is 90

Problem 7: Find the LCM of [latex]16[/latex] and [latex]28[/latex].

Answer

The least common multiple (LCM) of [latex]16[/latex] and [latex]28[/latex] is [latex]\color{red}112[/latex].

The first 10 multiples of 16 are:
16, 32, 48, 64, 80, 96, 112, 128, 144, 160.

The first 10 multiples of 28 are:
28, 56, 84, 112, 140, 168, 196, 224, 252, 280.

Calculator check!

lcm(16,28) is 112

Problem 8: Find the LCM of [latex]14[/latex] and [latex]22[/latex].

Answer

The least common multiple (LCM) of [latex]14[/latex] and [latex]22[/latex] is [latex]\color{red}154[/latex].

The first 13 multiples of 14 are:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182.

The first 13 multiples of 22 are:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286.

Calculator check!

lcm is 154

Problem 9: Find the LCM of [latex]21[/latex] and [latex]27[/latex].

Answer

The least common multiple (LCM) of [latex]21[/latex] and [latex]27[/latex] is [latex]\color{red}189[/latex].

The first 12 multiples of 21 are:
21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252.

The first 12 multiples of 27 are:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324.

Calculator check!

lcm is 189

Problem 10: Find the LCM of [latex]22[/latex] and [latex]24[/latex].

Answer

The least common multiple (LCM) of [latex]22[/latex] and [latex]24[/latex] is [latex]\color{red}264[/latex].

The first 13 multiples of 22 are:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286.

The first 13 multiples of 24 are:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312.

Calculator check!

lcm is 264

You may also be interested in these related math lessons or tutorials:

Use Prime Factorization to Find LCM

Find the Least Common Multiple using the List Method