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What is the Least Common Multiple of 56371 and 56388?

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 56371 and 56388 is 3178647948.

LCM(56371,56388) = 3178647948

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Least Common Multiple of 56371 and 56388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56371 and 56388, than apply into the LCM equation.

GCF(56371,56388) = 1
LCM(56371,56388) = ( 56371 × 56388) / 1
LCM(56371,56388) = 3178647948 / 1
LCM(56371,56388) = 3178647948

Least Common Multiple (LCM) of 56371 and 56388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56371 and 56388. First we will calculate the prime factors of 56371 and 56388.

Prime Factorization of 56371

Prime factors of 56371 are 7, 8053. Prime factorization of 56371 in exponential form is:

56371 = 71 × 80531

Prime Factorization of 56388

Prime factors of 56388 are 2, 3, 37, 127. Prime factorization of 56388 in exponential form is:

56388 = 22 × 31 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 56371 and 56388.

LCM(56371,56388) = 71 × 80531 × 22 × 31 × 371 × 1271
LCM(56371,56388) = 3178647948