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What is the Least Common Multiple of 99623 and 99639?

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 99623 and 99639 is 9926336097.

LCM(99623,99639) = 9926336097

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Least Common Multiple of 99623 and 99639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99623 and 99639, than apply into the LCM equation.

GCF(99623,99639) = 1
LCM(99623,99639) = ( 99623 × 99639) / 1
LCM(99623,99639) = 9926336097 / 1
LCM(99623,99639) = 9926336097

Least Common Multiple (LCM) of 99623 and 99639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99623 and 99639. First we will calculate the prime factors of 99623 and 99639.

Prime Factorization of 99623

Prime factors of 99623 are 99623. Prime factorization of 99623 in exponential form is:

99623 = 996231

Prime Factorization of 99639

Prime factors of 99639 are 3, 11071. Prime factorization of 99639 in exponential form is:

99639 = 32 × 110711

Now multiplying the highest exponent prime factors to calculate the LCM of 99623 and 99639.

LCM(99623,99639) = 996231 × 32 × 110711
LCM(99623,99639) = 9926336097