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What is the Least Common Multiple of 88621 and 88627?

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 88621 and 88627 is 7854213367.

LCM(88621,88627) = 7854213367

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Least Common Multiple of 88621 and 88627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88621 and 88627, than apply into the LCM equation.

GCF(88621,88627) = 1
LCM(88621,88627) = ( 88621 × 88627) / 1
LCM(88621,88627) = 7854213367 / 1
LCM(88621,88627) = 7854213367

Least Common Multiple (LCM) of 88621 and 88627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88621 and 88627. First we will calculate the prime factors of 88621 and 88627.

Prime Factorization of 88621

Prime factors of 88621 are 13, 17, 401. Prime factorization of 88621 in exponential form is:

88621 = 131 × 171 × 4011

Prime Factorization of 88627

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

88627 = 71 × 111 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 88621 and 88627.

LCM(88621,88627) = 131 × 171 × 4011 × 71 × 111 × 11511
LCM(88621,88627) = 7854213367