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What is the Least Common Multiple of 9608 and 9627?

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 9608 and 9627 is 92496216.

LCM(9608,9627) = 92496216

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Least Common Multiple of 9608 and 9627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9608 and 9627, than apply into the LCM equation.

GCF(9608,9627) = 1
LCM(9608,9627) = ( 9608 × 9627) / 1
LCM(9608,9627) = 92496216 / 1
LCM(9608,9627) = 92496216

Least Common Multiple (LCM) of 9608 and 9627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9627. First we will calculate the prime factors of 9608 and 9627.

Prime Factorization of 9608

Prime factors of 9608 are 2, 1201. Prime factorization of 9608 in exponential form is:

9608 = 23 × 12011

Prime Factorization of 9627

Prime factors of 9627 are 3, 3209. Prime factorization of 9627 in exponential form is:

9627 = 31 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9627.

LCM(9608,9627) = 23 × 12011 × 31 × 32091
LCM(9608,9627) = 92496216