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What is the Least Common Multiple of 12662 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 12662 and 12678 is 80264418.

LCM(12662,12678) = 80264418

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Least Common Multiple of 12662 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 12662 and 12678, than apply into the LCM equation.

GCF(12662,12678) = 2
LCM(12662,12678) = ( 12662 × 12678) / 2
LCM(12662,12678) = 160528836 / 2
LCM(12662,12678) = 80264418

Least Common Multiple (LCM) of 12662 and 12678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12662 and 12678. First we will calculate the prime factors of 12662 and 12678.

Prime Factorization of 12662

Prime factors of 12662 are 2, 13, 487. Prime factorization of 12662 in exponential form is:

12662 = 21 × 131 × 4871

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 12662 and 12678.

LCM(12662,12678) = 21 × 131 × 4871 × 31 × 21131
LCM(12662,12678) = 80264418