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What is the Least Common Multiple of 9608 and 9617?

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 9617 is 92400136.

LCM(9608,9617) = 92400136

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Least Common Multiple of 9608 and 9617 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 9617, than apply into the LCM equation.

GCF(9608,9617) = 1
LCM(9608,9617) = ( 9608 × 9617) / 1
LCM(9608,9617) = 92400136 / 1
LCM(9608,9617) = 92400136

Least Common Multiple (LCM) of 9608 and 9617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9608 and 9617. First we will calculate the prime factors of 9608 and 9617.

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 9617

Prime factors of 9617 are 59, 163. Prime factorization of 9617 in exponential form is:

9617 = 591 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9608 and 9617.

LCM(9608,9617) = 23 × 12011 × 591 × 1631
LCM(9608,9617) = 92400136