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What is the Least Common Multiple of 95358 and 95377?

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 95358 and 95377 is 9094959966.

LCM(95358,95377) = 9094959966

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Least Common Multiple of 95358 and 95377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95358 and 95377, than apply into the LCM equation.

GCF(95358,95377) = 1
LCM(95358,95377) = ( 95358 × 95377) / 1
LCM(95358,95377) = 9094959966 / 1
LCM(95358,95377) = 9094959966

Least Common Multiple (LCM) of 95358 and 95377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95358 and 95377. First we will calculate the prime factors of 95358 and 95377.

Prime Factorization of 95358

Prime factors of 95358 are 2, 3, 23, 691. Prime factorization of 95358 in exponential form is:

95358 = 21 × 31 × 231 × 6911

Prime Factorization of 95377

Prime factors of 95377 are 127, 751. Prime factorization of 95377 in exponential form is:

95377 = 1271 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 95358 and 95377.

LCM(95358,95377) = 21 × 31 × 231 × 6911 × 1271 × 7511
LCM(95358,95377) = 9094959966