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What is the Least Common Multiple of 95139 and 95157?

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 95139 and 95157 is 1005904647.

LCM(95139,95157) = 1005904647

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Least Common Multiple of 95139 and 95157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95139 and 95157, than apply into the LCM equation.

GCF(95139,95157) = 9
LCM(95139,95157) = ( 95139 × 95157) / 9
LCM(95139,95157) = 9053141823 / 9
LCM(95139,95157) = 1005904647

Least Common Multiple (LCM) of 95139 and 95157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95139 and 95157. First we will calculate the prime factors of 95139 and 95157.

Prime Factorization of 95139

Prime factors of 95139 are 3, 11, 31. Prime factorization of 95139 in exponential form is:

95139 = 32 × 111 × 312

Prime Factorization of 95157

Prime factors of 95157 are 3, 97, 109. Prime factorization of 95157 in exponential form is:

95157 = 32 × 971 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 95139 and 95157.

LCM(95139,95157) = 32 × 111 × 312 × 971 × 1091
LCM(95139,95157) = 1005904647