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What is the Least Common Multiple of 95134 and 95138?

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 95134 and 95138 is 4525429246.

LCM(95134,95138) = 4525429246

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Least Common Multiple of 95134 and 95138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95134 and 95138, than apply into the LCM equation.

GCF(95134,95138) = 2
LCM(95134,95138) = ( 95134 × 95138) / 2
LCM(95134,95138) = 9050858492 / 2
LCM(95134,95138) = 4525429246

Least Common Multiple (LCM) of 95134 and 95138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95134 and 95138. First we will calculate the prime factors of 95134 and 95138.

Prime Factorization of 95134

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

95134 = 21 × 131 × 36591

Prime Factorization of 95138

Prime factors of 95138 are 2, 47569. Prime factorization of 95138 in exponential form is:

95138 = 21 × 475691

Now multiplying the highest exponent prime factors to calculate the LCM of 95134 and 95138.

LCM(95134,95138) = 21 × 131 × 36591 × 475691
LCM(95134,95138) = 4525429246