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What is the Least Common Multiple of 95118 and 95134?

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 95134 is 4524477906.

LCM(95118,95134) = 4524477906

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Least Common Multiple of 95118 and 95134 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 95134, than apply into the LCM equation.

GCF(95118,95134) = 2
LCM(95118,95134) = ( 95118 × 95134) / 2
LCM(95118,95134) = 9048955812 / 2
LCM(95118,95134) = 4524477906

Least Common Multiple (LCM) of 95118 and 95134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95118 and 95134. First we will calculate the prime factors of 95118 and 95134.

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 95134

Prime factors of 95134 are 2, 13, 3659. Prime factorization of 95134 in exponential form is:

95134 = 21 × 131 × 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 95118 and 95134.

LCM(95118,95134) = 21 × 31 × 831 × 1911 × 131 × 36591
LCM(95118,95134) = 4524477906