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What is the Least Common Multiple of 12664 and 12678?

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 12664 and 12678 is 80277096.

LCM(12664,12678) = 80277096

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Least Common Multiple of 12664 and 12678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12664 and 12678, than apply into the LCM equation.

GCF(12664,12678) = 2
LCM(12664,12678) = ( 12664 × 12678) / 2
LCM(12664,12678) = 160554192 / 2
LCM(12664,12678) = 80277096

Least Common Multiple (LCM) of 12664 and 12678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12664 and 12678. First we will calculate the prime factors of 12664 and 12678.

Prime Factorization of 12664

Prime factors of 12664 are 2, 1583. Prime factorization of 12664 in exponential form is:

12664 = 23 × 15831

Prime Factorization of 12678

Prime factors of 12678 are 2, 3, 2113. Prime factorization of 12678 in exponential form is:

12678 = 21 × 31 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 12664 and 12678.

LCM(12664,12678) = 23 × 15831 × 31 × 21131
LCM(12664,12678) = 80277096