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What is the Least Common Multiple of 95272 and 95276?

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 95276 is 2269283768.

LCM(95272,95276) = 2269283768

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Least Common Multiple of 95272 and 95276 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 95276, than apply into the LCM equation.

GCF(95272,95276) = 4
LCM(95272,95276) = ( 95272 × 95276) / 4
LCM(95272,95276) = 9077135072 / 4
LCM(95272,95276) = 2269283768

Least Common Multiple (LCM) of 95272 and 95276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95272 and 95276. First we will calculate the prime factors of 95272 and 95276.

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 95276

Prime factors of 95276 are 2, 23819. Prime factorization of 95276 in exponential form is:

95276 = 22 × 238191

Now multiplying the highest exponent prime factors to calculate the LCM of 95272 and 95276.

LCM(95272,95276) = 23 × 119091 × 238191
LCM(95272,95276) = 2269283768