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What is the Least Common Multiple of 12660 and 12676?

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 12660 and 12676 is 40119540.

LCM(12660,12676) = 40119540

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Least Common Multiple of 12660 and 12676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12660 and 12676, than apply into the LCM equation.

GCF(12660,12676) = 4
LCM(12660,12676) = ( 12660 × 12676) / 4
LCM(12660,12676) = 160478160 / 4
LCM(12660,12676) = 40119540

Least Common Multiple (LCM) of 12660 and 12676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12660 and 12676. First we will calculate the prime factors of 12660 and 12676.

Prime Factorization of 12660

Prime factors of 12660 are 2, 3, 5, 211. Prime factorization of 12660 in exponential form is:

12660 = 22 × 31 × 51 × 2111

Prime Factorization of 12676

Prime factors of 12676 are 2, 3169. Prime factorization of 12676 in exponential form is:

12676 = 22 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 12660 and 12676.

LCM(12660,12676) = 22 × 31 × 51 × 2111 × 31691
LCM(12660,12676) = 40119540