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What is the Least Common Multiple of 88627 and 88636?

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 88627 and 88636 is 7855542772.

LCM(88627,88636) = 7855542772

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Least Common Multiple of 88627 and 88636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88627 and 88636, than apply into the LCM equation.

GCF(88627,88636) = 1
LCM(88627,88636) = ( 88627 × 88636) / 1
LCM(88627,88636) = 7855542772 / 1
LCM(88627,88636) = 7855542772

Least Common Multiple (LCM) of 88627 and 88636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88627 and 88636. First we will calculate the prime factors of 88627 and 88636.

Prime Factorization of 88627

Prime factors of 88627 are 7, 11, 1151. Prime factorization of 88627 in exponential form is:

88627 = 71 × 111 × 11511

Prime Factorization of 88636

Prime factors of 88636 are 2, 22159. Prime factorization of 88636 in exponential form is:

88636 = 22 × 221591

Now multiplying the highest exponent prime factors to calculate the LCM of 88627 and 88636.

LCM(88627,88636) = 71 × 111 × 11511 × 22 × 221591
LCM(88627,88636) = 7855542772