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What is the Least Common Multiple of 97637 and 97651?

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 97637 and 97651 is 9534350687.

LCM(97637,97651) = 9534350687

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Least Common Multiple of 97637 and 97651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97637 and 97651, than apply into the LCM equation.

GCF(97637,97651) = 1
LCM(97637,97651) = ( 97637 × 97651) / 1
LCM(97637,97651) = 9534350687 / 1
LCM(97637,97651) = 9534350687

Least Common Multiple (LCM) of 97637 and 97651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97637 and 97651. First we will calculate the prime factors of 97637 and 97651.

Prime Factorization of 97637

Prime factors of 97637 are 163, 599. Prime factorization of 97637 in exponential form is:

97637 = 1631 × 5991

Prime Factorization of 97651

Prime factors of 97651 are 97651. Prime factorization of 97651 in exponential form is:

97651 = 976511

Now multiplying the highest exponent prime factors to calculate the LCM of 97637 and 97651.

LCM(97637,97651) = 1631 × 5991 × 976511
LCM(97637,97651) = 9534350687