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What is the Least Common Multiple of 9627 and 9634?

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 9627 and 9634 is 92746518.

LCM(9627,9634) = 92746518

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Least Common Multiple of 9627 and 9634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9627 and 9634, than apply into the LCM equation.

GCF(9627,9634) = 1
LCM(9627,9634) = ( 9627 × 9634) / 1
LCM(9627,9634) = 92746518 / 1
LCM(9627,9634) = 92746518

Least Common Multiple (LCM) of 9627 and 9634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9627 and 9634. First we will calculate the prime factors of 9627 and 9634.

Prime Factorization of 9627

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

9627 = 31 × 32091

Prime Factorization of 9634

Prime factors of 9634 are 2, 4817. Prime factorization of 9634 in exponential form is:

9634 = 21 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 9627 and 9634.

LCM(9627,9634) = 31 × 32091 × 21 × 48171
LCM(9627,9634) = 92746518