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What is the Least Common Multiple of 95563 and 95578?

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 95563 and 95578 is 9133720414.

LCM(95563,95578) = 9133720414

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Least Common Multiple of 95563 and 95578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95563 and 95578, than apply into the LCM equation.

GCF(95563,95578) = 1
LCM(95563,95578) = ( 95563 × 95578) / 1
LCM(95563,95578) = 9133720414 / 1
LCM(95563,95578) = 9133720414

Least Common Multiple (LCM) of 95563 and 95578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95563 and 95578. First we will calculate the prime factors of 95563 and 95578.

Prime Factorization of 95563

Prime factors of 95563 are 13, 7351. Prime factorization of 95563 in exponential form is:

95563 = 131 × 73511

Prime Factorization of 95578

Prime factors of 95578 are 2, 7, 6827. Prime factorization of 95578 in exponential form is:

95578 = 21 × 71 × 68271

Now multiplying the highest exponent prime factors to calculate the LCM of 95563 and 95578.

LCM(95563,95578) = 131 × 73511 × 21 × 71 × 68271
LCM(95563,95578) = 9133720414