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What is the Least Common Multiple of 95620 and 95636?

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 95620 and 95636 is 2286178580.

LCM(95620,95636) = 2286178580

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Least Common Multiple of 95620 and 95636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95620 and 95636, than apply into the LCM equation.

GCF(95620,95636) = 4
LCM(95620,95636) = ( 95620 × 95636) / 4
LCM(95620,95636) = 9144714320 / 4
LCM(95620,95636) = 2286178580

Least Common Multiple (LCM) of 95620 and 95636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95620 and 95636. First we will calculate the prime factors of 95620 and 95636.

Prime Factorization of 95620

Prime factors of 95620 are 2, 5, 7, 683. Prime factorization of 95620 in exponential form is:

95620 = 22 × 51 × 71 × 6831

Prime Factorization of 95636

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

95636 = 22 × 239091

Now multiplying the highest exponent prime factors to calculate the LCM of 95620 and 95636.

LCM(95620,95636) = 22 × 51 × 71 × 6831 × 239091
LCM(95620,95636) = 2286178580