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LCM of 24 and 36

The least common multiple (LCM) of 24 and 36 is 72. Their greatest common factor (GCF) is 12.

LCM72
GCF12
Prime factors of 242^3 × 3
Prime factors of 362^2 × 3^2

Prime factorization method

Write each number as a product of primes: 24 = 2^3 × 3 and 36 = 2^2 × 3^2. The LCM takes every prime with its highest power, which gives 72. The GCF takes only the shared primes with their lowest power, which gives 12.

Check with the formula

For two numbers, LCM × GCF = a × b. Here 72 × 12 = 864, and 24 × 36 = 864, so the answer is correct.

Multiples of 24 and 36

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192 … Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288 … The first number that appears in both lists is 72.

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Frequently asked questions

What is the LCM of 24 and 36?

The LCM of 24 and 36 is 72. It is the smallest positive number that both 24 and 36 divide into exactly.

What is the GCF of 24 and 36?

The greatest common factor of 24 and 36 is 12. It is the largest number that divides both without a remainder.

How do I find the LCM of 24 and 36 quickly?

Divide the product by the GCF: 24 × 36 = 864, and 864 ÷ 12 = 72.