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What is the Least Common Multiple of 95623 and 95627?

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 95623 and 95627 is 9144140621.

LCM(95623,95627) = 9144140621

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Least Common Multiple of 95623 and 95627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95623 and 95627, than apply into the LCM equation.

GCF(95623,95627) = 1
LCM(95623,95627) = ( 95623 × 95627) / 1
LCM(95623,95627) = 9144140621 / 1
LCM(95623,95627) = 9144140621

Least Common Multiple (LCM) of 95623 and 95627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95623 and 95627. First we will calculate the prime factors of 95623 and 95627.

Prime Factorization of 95623

Prime factors of 95623 are 11, 8693. Prime factorization of 95623 in exponential form is:

95623 = 111 × 86931

Prime Factorization of 95627

Prime factors of 95627 are 7, 19, 719. Prime factorization of 95627 in exponential form is:

95627 = 71 × 191 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 95623 and 95627.

LCM(95623,95627) = 111 × 86931 × 71 × 191 × 7191
LCM(95623,95627) = 9144140621