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What is the Least Common Multiple of 95627 and 95639?

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 95639 is 9145670653.

LCM(95627,95639) = 9145670653

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Least Common Multiple of 95627 and 95639 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 95639, than apply into the LCM equation.

GCF(95627,95639) = 1
LCM(95627,95639) = ( 95627 × 95639) / 1
LCM(95627,95639) = 9145670653 / 1
LCM(95627,95639) = 9145670653

Least Common Multiple (LCM) of 95627 and 95639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95627 and 95639. First we will calculate the prime factors of 95627 and 95639.

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 95639

Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:

95639 = 591 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 95627 and 95639.

LCM(95627,95639) = 71 × 191 × 7191 × 591 × 16211
LCM(95627,95639) = 9145670653