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What is the Least Common Multiple of 95115 and 95126?

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 95115 and 95126 is 9047909490.

LCM(95115,95126) = 9047909490

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Least Common Multiple of 95115 and 95126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95115 and 95126, than apply into the LCM equation.

GCF(95115,95126) = 1
LCM(95115,95126) = ( 95115 × 95126) / 1
LCM(95115,95126) = 9047909490 / 1
LCM(95115,95126) = 9047909490

Least Common Multiple (LCM) of 95115 and 95126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95115 and 95126. First we will calculate the prime factors of 95115 and 95126.

Prime Factorization of 95115

Prime factors of 95115 are 3, 5, 17, 373. Prime factorization of 95115 in exponential form is:

95115 = 31 × 51 × 171 × 3731

Prime Factorization of 95126

Prime factors of 95126 are 2, 47563. Prime factorization of 95126 in exponential form is:

95126 = 21 × 475631

Now multiplying the highest exponent prime factors to calculate the LCM of 95115 and 95126.

LCM(95115,95126) = 31 × 51 × 171 × 3731 × 21 × 475631
LCM(95115,95126) = 9047909490