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What is the Least Common Multiple of 95137 and 95147?

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 95137 and 95147 is 9052000139.

LCM(95137,95147) = 9052000139

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Least Common Multiple of 95137 and 95147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95137 and 95147, than apply into the LCM equation.

GCF(95137,95147) = 1
LCM(95137,95147) = ( 95137 × 95147) / 1
LCM(95137,95147) = 9052000139 / 1
LCM(95137,95147) = 9052000139

Least Common Multiple (LCM) of 95137 and 95147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95137 and 95147. First we will calculate the prime factors of 95137 and 95147.

Prime Factorization of 95137

Prime factors of 95137 are 7, 13591. Prime factorization of 95137 in exponential form is:

95137 = 71 × 135911

Prime Factorization of 95147

Prime factors of 95147 are 13, 563. Prime factorization of 95147 in exponential form is:

95147 = 132 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 95137 and 95147.

LCM(95137,95147) = 71 × 135911 × 132 × 5631
LCM(95137,95147) = 9052000139