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What is the Least Common Multiple of 93631 and 93640?

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 93631 and 93640 is 8767606840.

LCM(93631,93640) = 8767606840

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Least Common Multiple of 93631 and 93640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93631 and 93640, than apply into the LCM equation.

GCF(93631,93640) = 1
LCM(93631,93640) = ( 93631 × 93640) / 1
LCM(93631,93640) = 8767606840 / 1
LCM(93631,93640) = 8767606840

Least Common Multiple (LCM) of 93631 and 93640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93631 and 93640. First we will calculate the prime factors of 93631 and 93640.

Prime Factorization of 93631

Prime factors of 93631 are 109, 859. Prime factorization of 93631 in exponential form is:

93631 = 1091 × 8591

Prime Factorization of 93640

Prime factors of 93640 are 2, 5, 2341. Prime factorization of 93640 in exponential form is:

93640 = 23 × 51 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 93631 and 93640.

LCM(93631,93640) = 1091 × 8591 × 23 × 51 × 23411
LCM(93631,93640) = 8767606840