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What is the Least Common Multiple of 9607 and 9626?

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 9607 and 9626 is 92476982.

LCM(9607,9626) = 92476982

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Least Common Multiple of 9607 and 9626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9607 and 9626, than apply into the LCM equation.

GCF(9607,9626) = 1
LCM(9607,9626) = ( 9607 × 9626) / 1
LCM(9607,9626) = 92476982 / 1
LCM(9607,9626) = 92476982

Least Common Multiple (LCM) of 9607 and 9626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9607 and 9626. First we will calculate the prime factors of 9607 and 9626.

Prime Factorization of 9607

Prime factors of 9607 are 13, 739. Prime factorization of 9607 in exponential form is:

9607 = 131 × 7391

Prime Factorization of 9626

Prime factors of 9626 are 2, 4813. Prime factorization of 9626 in exponential form is:

9626 = 21 × 48131

Now multiplying the highest exponent prime factors to calculate the LCM of 9607 and 9626.

LCM(9607,9626) = 131 × 7391 × 21 × 48131
LCM(9607,9626) = 92476982