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What is the Least Common Multiple of 9617 and 9630?

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 9617 and 9630 is 92611710.

LCM(9617,9630) = 92611710

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Least Common Multiple of 9617 and 9630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9617 and 9630, than apply into the LCM equation.

GCF(9617,9630) = 1
LCM(9617,9630) = ( 9617 × 9630) / 1
LCM(9617,9630) = 92611710 / 1
LCM(9617,9630) = 92611710

Least Common Multiple (LCM) of 9617 and 9630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9617 and 9630. First we will calculate the prime factors of 9617 and 9630.

Prime Factorization of 9617

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

9617 = 591 × 1631

Prime Factorization of 9630

Prime factors of 9630 are 2, 3, 5, 107. Prime factorization of 9630 in exponential form is:

9630 = 21 × 32 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9617 and 9630.

LCM(9617,9630) = 591 × 1631 × 21 × 32 × 51 × 1071
LCM(9617,9630) = 92611710