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What is the Least Common Multiple of 4357 and 4372?

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 4357 and 4372 is 19048804.

LCM(4357,4372) = 19048804

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Least Common Multiple of 4357 and 4372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4357 and 4372, than apply into the LCM equation.

GCF(4357,4372) = 1
LCM(4357,4372) = ( 4357 × 4372) / 1
LCM(4357,4372) = 19048804 / 1
LCM(4357,4372) = 19048804

Least Common Multiple (LCM) of 4357 and 4372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4357 and 4372. First we will calculate the prime factors of 4357 and 4372.

Prime Factorization of 4357

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

Prime Factorization of 4372

Prime factors of 4372 are 2, 1093. Prime factorization of 4372 in exponential form is:

4372 = 22 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 4357 and 4372.

LCM(4357,4372) = 43571 × 22 × 10931
LCM(4357,4372) = 19048804