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What is the Least Common Multiple of 2364 and 2372?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2364 and 2372 is 1401852.

LCM(2364,2372) = 1401852

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Least Common Multiple of 2364 and 2372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2364 and 2372, than apply into the LCM equation.

GCF(2364,2372) = 4
LCM(2364,2372) = ( 2364 × 2372) / 4
LCM(2364,2372) = 5607408 / 4
LCM(2364,2372) = 1401852

Least Common Multiple (LCM) of 2364 and 2372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2372. First we will calculate the prime factors of 2364 and 2372.

Prime Factorization of 2364

Prime factors of 2364 are 2, 3, 197. Prime factorization of 2364 in exponential form is:

2364 = 22 × 31 × 1971

Prime Factorization of 2372

Prime factors of 2372 are 2, 593. Prime factorization of 2372 in exponential form is:

2372 = 22 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 2364 and 2372.

LCM(2364,2372) = 22 × 31 × 1971 × 5931
LCM(2364,2372) = 1401852