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What is the Least Common Multiple of 95272 and 95279?

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 95272 and 95279 is 9077420888.

LCM(95272,95279) = 9077420888

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Least Common Multiple of 95272 and 95279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95272 and 95279, than apply into the LCM equation.

GCF(95272,95279) = 1
LCM(95272,95279) = ( 95272 × 95279) / 1
LCM(95272,95279) = 9077420888 / 1
LCM(95272,95279) = 9077420888

Least Common Multiple (LCM) of 95272 and 95279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95272 and 95279. First we will calculate the prime factors of 95272 and 95279.

Prime Factorization of 95272

Prime factors of 95272 are 2, 11909. Prime factorization of 95272 in exponential form is:

95272 = 23 × 119091

Prime Factorization of 95279

Prime factors of 95279 are 95279. Prime factorization of 95279 in exponential form is:

95279 = 952791

Now multiplying the highest exponent prime factors to calculate the LCM of 95272 and 95279.

LCM(95272,95279) = 23 × 119091 × 952791
LCM(95272,95279) = 9077420888