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What is the Least Common Multiple of 95118 and 95127?

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 95118 and 95127 is 3016096662.

LCM(95118,95127) = 3016096662

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Least Common Multiple of 95118 and 95127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95118 and 95127, than apply into the LCM equation.

GCF(95118,95127) = 3
LCM(95118,95127) = ( 95118 × 95127) / 3
LCM(95118,95127) = 9048289986 / 3
LCM(95118,95127) = 3016096662

Least Common Multiple (LCM) of 95118 and 95127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95118 and 95127. First we will calculate the prime factors of 95118 and 95127.

Prime Factorization of 95118

Prime factors of 95118 are 2, 3, 83, 191. Prime factorization of 95118 in exponential form is:

95118 = 21 × 31 × 831 × 1911

Prime Factorization of 95127

Prime factors of 95127 are 3, 37, 857. Prime factorization of 95127 in exponential form is:

95127 = 31 × 371 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 95118 and 95127.

LCM(95118,95127) = 21 × 31 × 831 × 1911 × 371 × 8571
LCM(95118,95127) = 3016096662