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What is the Least Common Multiple of 88627 and 88637?

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 88637 is 7855631399.

LCM(88627,88637) = 7855631399

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Least Common Multiple of 88627 and 88637 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 88637, than apply into the LCM equation.

GCF(88627,88637) = 1
LCM(88627,88637) = ( 88627 × 88637) / 1
LCM(88627,88637) = 7855631399 / 1
LCM(88627,88637) = 7855631399

Least Common Multiple (LCM) of 88627 and 88637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88627 and 88637. First we will calculate the prime factors of 88627 and 88637.

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 88637

Prime factors of 88637 are 151, 587. Prime factorization of 88637 in exponential form is:

88637 = 1511 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 88627 and 88637.

LCM(88627,88637) = 71 × 111 × 11511 × 1511 × 5871
LCM(88627,88637) = 7855631399