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What is the Least Common Multiple of 91623 and 91638?

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 91623 and 91638 is 2798716158.

LCM(91623,91638) = 2798716158

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Least Common Multiple of 91623 and 91638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91623 and 91638, than apply into the LCM equation.

GCF(91623,91638) = 3
LCM(91623,91638) = ( 91623 × 91638) / 3
LCM(91623,91638) = 8396148474 / 3
LCM(91623,91638) = 2798716158

Least Common Multiple (LCM) of 91623 and 91638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91623 and 91638. First we will calculate the prime factors of 91623 and 91638.

Prime Factorization of 91623

Prime factors of 91623 are 3, 7, 4363. Prime factorization of 91623 in exponential form is:

91623 = 31 × 71 × 43631

Prime Factorization of 91638

Prime factors of 91638 are 2, 3, 1697. Prime factorization of 91638 in exponential form is:

91638 = 21 × 33 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 91623 and 91638.

LCM(91623,91638) = 33 × 71 × 43631 × 21 × 16971
LCM(91623,91638) = 2798716158