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What is the Least Common Multiple of 6623 and 6639?

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 6623 and 6639 is 43970097.

LCM(6623,6639) = 43970097

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Least Common Multiple of 6623 and 6639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6623 and 6639, than apply into the LCM equation.

GCF(6623,6639) = 1
LCM(6623,6639) = ( 6623 × 6639) / 1
LCM(6623,6639) = 43970097 / 1
LCM(6623,6639) = 43970097

Least Common Multiple (LCM) of 6623 and 6639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6623 and 6639. First we will calculate the prime factors of 6623 and 6639.

Prime Factorization of 6623

Prime factors of 6623 are 37, 179. Prime factorization of 6623 in exponential form is:

6623 = 371 × 1791

Prime Factorization of 6639

Prime factors of 6639 are 3, 2213. Prime factorization of 6639 in exponential form is:

6639 = 31 × 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 6623 and 6639.

LCM(6623,6639) = 371 × 1791 × 31 × 22131
LCM(6623,6639) = 43970097