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What is the Least Common Multiple of 95636 and 95655?

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 95636 and 95655 is 9148061580.

LCM(95636,95655) = 9148061580

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Least Common Multiple of 95636 and 95655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95636 and 95655, than apply into the LCM equation.

GCF(95636,95655) = 1
LCM(95636,95655) = ( 95636 × 95655) / 1
LCM(95636,95655) = 9148061580 / 1
LCM(95636,95655) = 9148061580

Least Common Multiple (LCM) of 95636 and 95655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95636 and 95655. First we will calculate the prime factors of 95636 and 95655.

Prime Factorization of 95636

Prime factors of 95636 are 2, 23909. Prime factorization of 95636 in exponential form is:

95636 = 22 × 239091

Prime Factorization of 95655

Prime factors of 95655 are 3, 5, 7, 911. Prime factorization of 95655 in exponential form is:

95655 = 31 × 51 × 71 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 95636 and 95655.

LCM(95636,95655) = 22 × 239091 × 31 × 51 × 71 × 9111
LCM(95636,95655) = 9148061580