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What is the Least Common Multiple of 95179 and 95192?

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 95179 and 95192 is 9060279368.

LCM(95179,95192) = 9060279368

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Least Common Multiple of 95179 and 95192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95179 and 95192, than apply into the LCM equation.

GCF(95179,95192) = 1
LCM(95179,95192) = ( 95179 × 95192) / 1
LCM(95179,95192) = 9060279368 / 1
LCM(95179,95192) = 9060279368

Least Common Multiple (LCM) of 95179 and 95192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95179 and 95192. First we will calculate the prime factors of 95179 and 95192.

Prime Factorization of 95179

Prime factors of 95179 are 7, 13597. Prime factorization of 95179 in exponential form is:

95179 = 71 × 135971

Prime Factorization of 95192

Prime factors of 95192 are 2, 73, 163. Prime factorization of 95192 in exponential form is:

95192 = 23 × 731 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 95179 and 95192.

LCM(95179,95192) = 71 × 135971 × 23 × 731 × 1631
LCM(95179,95192) = 9060279368