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What is the Least Common Multiple of 95627 and 95631?

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 95627 and 95631 is 9144905637.

LCM(95627,95631) = 9144905637

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Least Common Multiple of 95627 and 95631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95627 and 95631, than apply into the LCM equation.

GCF(95627,95631) = 1
LCM(95627,95631) = ( 95627 × 95631) / 1
LCM(95627,95631) = 9144905637 / 1
LCM(95627,95631) = 9144905637

Least Common Multiple (LCM) of 95627 and 95631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95627 and 95631. First we will calculate the prime factors of 95627 and 95631.

Prime Factorization of 95627

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

95627 = 71 × 191 × 7191

Prime Factorization of 95631

Prime factors of 95631 are 3, 127, 251. Prime factorization of 95631 in exponential form is:

95631 = 31 × 1271 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 95627 and 95631.

LCM(95627,95631) = 71 × 191 × 7191 × 31 × 1271 × 2511
LCM(95627,95631) = 9144905637