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What is the Least Common Multiple of 61637 and 61651?

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 61637 and 61651 is 3799982687.

LCM(61637,61651) = 3799982687

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Least Common Multiple of 61637 and 61651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61637 and 61651, than apply into the LCM equation.

GCF(61637,61651) = 1
LCM(61637,61651) = ( 61637 × 61651) / 1
LCM(61637,61651) = 3799982687 / 1
LCM(61637,61651) = 3799982687

Least Common Multiple (LCM) of 61637 and 61651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61637 and 61651. First we will calculate the prime factors of 61637 and 61651.

Prime Factorization of 61637

Prime factors of 61637 are 61637. Prime factorization of 61637 in exponential form is:

61637 = 616371

Prime Factorization of 61651

Prime factors of 61651 are 61651. Prime factorization of 61651 in exponential form is:

61651 = 616511

Now multiplying the highest exponent prime factors to calculate the LCM of 61637 and 61651.

LCM(61637,61651) = 616371 × 616511
LCM(61637,61651) = 3799982687