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What is the Least Common Multiple of 95573 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 95573 and 95578 is 9134676194.

LCM(95573,95578) = 9134676194

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Least Common Multiple of 95573 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 95573 and 95578, than apply into the LCM equation.

GCF(95573,95578) = 1
LCM(95573,95578) = ( 95573 × 95578) / 1
LCM(95573,95578) = 9134676194 / 1
LCM(95573,95578) = 9134676194

Least Common Multiple (LCM) of 95573 and 95578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95573 and 95578. First we will calculate the prime factors of 95573 and 95578.

Prime Factorization of 95573

Prime factors of 95573 are 31, 3083. Prime factorization of 95573 in exponential form is:

95573 = 311 × 30831

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 95573 and 95578.

LCM(95573,95578) = 311 × 30831 × 21 × 71 × 68271
LCM(95573,95578) = 9134676194