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What is the Least Common Multiple of 56616 and 56627?

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 56616 and 56627 is 3205994232.

LCM(56616,56627) = 3205994232

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Least Common Multiple of 56616 and 56627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56616 and 56627, than apply into the LCM equation.

GCF(56616,56627) = 1
LCM(56616,56627) = ( 56616 × 56627) / 1
LCM(56616,56627) = 3205994232 / 1
LCM(56616,56627) = 3205994232

Least Common Multiple (LCM) of 56616 and 56627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56616 and 56627. First we will calculate the prime factors of 56616 and 56627.

Prime Factorization of 56616

Prime factors of 56616 are 2, 3, 7, 337. Prime factorization of 56616 in exponential form is:

56616 = 23 × 31 × 71 × 3371

Prime Factorization of 56627

Prime factors of 56627 are 17, 3331. Prime factorization of 56627 in exponential form is:

56627 = 171 × 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 56616 and 56627.

LCM(56616,56627) = 23 × 31 × 71 × 3371 × 171 × 33311
LCM(56616,56627) = 3205994232