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What is the Least Common Multiple of 95095 and 95108?

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 95095 and 95108 is 695715020.

LCM(95095,95108) = 695715020

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Least Common Multiple of 95095 and 95108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95095 and 95108, than apply into the LCM equation.

GCF(95095,95108) = 13
LCM(95095,95108) = ( 95095 × 95108) / 13
LCM(95095,95108) = 9044295260 / 13
LCM(95095,95108) = 695715020

Least Common Multiple (LCM) of 95095 and 95108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95095 and 95108. First we will calculate the prime factors of 95095 and 95108.

Prime Factorization of 95095

Prime factors of 95095 are 5, 7, 11, 13, 19. Prime factorization of 95095 in exponential form is:

95095 = 51 × 71 × 111 × 131 × 191

Prime Factorization of 95108

Prime factors of 95108 are 2, 13, 31, 59. Prime factorization of 95108 in exponential form is:

95108 = 22 × 131 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 95095 and 95108.

LCM(95095,95108) = 51 × 71 × 111 × 131 × 191 × 22 × 311 × 591
LCM(95095,95108) = 695715020

Related Least Common Multiples of 95095

Related Least Common Multiples of 95108