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What is the Least Common Multiple of 96620 and 96637?

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 96620 and 96637 is 9337066940.

LCM(96620,96637) = 9337066940

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Least Common Multiple of 96620 and 96637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96620 and 96637, than apply into the LCM equation.

GCF(96620,96637) = 1
LCM(96620,96637) = ( 96620 × 96637) / 1
LCM(96620,96637) = 9337066940 / 1
LCM(96620,96637) = 9337066940

Least Common Multiple (LCM) of 96620 and 96637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96620 and 96637. First we will calculate the prime factors of 96620 and 96637.

Prime Factorization of 96620

Prime factors of 96620 are 2, 5, 4831. Prime factorization of 96620 in exponential form is:

96620 = 22 × 51 × 48311

Prime Factorization of 96637

Prime factors of 96637 are 41, 2357. Prime factorization of 96637 in exponential form is:

96637 = 411 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 96620 and 96637.

LCM(96620,96637) = 22 × 51 × 48311 × 411 × 23571
LCM(96620,96637) = 9337066940