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# What is the least common multiple of 24 and 32?

Updated: 4/28/2022

Wiki User

6y ago

The LCM of 24 and 32 is 96.

To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor).

The prime factors of 24 are 2, 2, 2, and 3.

The prime factors of 32 are 2, 2, 2, 2, and 2.

The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8.

The least common multiple or least common denominator is 24 x 32 ÷ 8 = 96.

Wiki User

6y ago

Wiki User

13y ago

The least common multiple of 24 and 32 is 96.

Wiki User

14y ago

96 is the LCM of 32 and 24

Wiki User

6y ago

96

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Q: What is the least common multiple of 24 and 32?
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