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What is the Least Common Multiple of 95136 and 95155?

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 95136 and 95155 is 9052666080.

LCM(95136,95155) = 9052666080

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Least Common Multiple of 95136 and 95155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95136 and 95155, than apply into the LCM equation.

GCF(95136,95155) = 1
LCM(95136,95155) = ( 95136 × 95155) / 1
LCM(95136,95155) = 9052666080 / 1
LCM(95136,95155) = 9052666080

Least Common Multiple (LCM) of 95136 and 95155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95136 and 95155. First we will calculate the prime factors of 95136 and 95155.

Prime Factorization of 95136

Prime factors of 95136 are 2, 3, 991. Prime factorization of 95136 in exponential form is:

95136 = 25 × 31 × 9911

Prime Factorization of 95155

Prime factors of 95155 are 5, 19031. Prime factorization of 95155 in exponential form is:

95155 = 51 × 190311

Now multiplying the highest exponent prime factors to calculate the LCM of 95136 and 95155.

LCM(95136,95155) = 25 × 31 × 9911 × 51 × 190311
LCM(95136,95155) = 9052666080