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What is the Least Common Multiple of 9713 and 9732?

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 9713 and 9732 is 94526916.

LCM(9713,9732) = 94526916

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Least Common Multiple of 9713 and 9732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9713 and 9732, than apply into the LCM equation.

GCF(9713,9732) = 1
LCM(9713,9732) = ( 9713 × 9732) / 1
LCM(9713,9732) = 94526916 / 1
LCM(9713,9732) = 94526916

Least Common Multiple (LCM) of 9713 and 9732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9713 and 9732. First we will calculate the prime factors of 9713 and 9732.

Prime Factorization of 9713

Prime factors of 9713 are 11, 883. Prime factorization of 9713 in exponential form is:

9713 = 111 × 8831

Prime Factorization of 9732

Prime factors of 9732 are 2, 3, 811. Prime factorization of 9732 in exponential form is:

9732 = 22 × 31 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 9713 and 9732.

LCM(9713,9732) = 111 × 8831 × 22 × 31 × 8111
LCM(9713,9732) = 94526916