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What is the Least Common Multiple of 12652 and 12670?

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 12652 and 12670 is 80150420.

LCM(12652,12670) = 80150420

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Least Common Multiple of 12652 and 12670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12652 and 12670, than apply into the LCM equation.

GCF(12652,12670) = 2
LCM(12652,12670) = ( 12652 × 12670) / 2
LCM(12652,12670) = 160300840 / 2
LCM(12652,12670) = 80150420

Least Common Multiple (LCM) of 12652 and 12670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12652 and 12670. First we will calculate the prime factors of 12652 and 12670.

Prime Factorization of 12652

Prime factors of 12652 are 2, 3163. Prime factorization of 12652 in exponential form is:

12652 = 22 × 31631

Prime Factorization of 12670

Prime factors of 12670 are 2, 5, 7, 181. Prime factorization of 12670 in exponential form is:

12670 = 21 × 51 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 12652 and 12670.

LCM(12652,12670) = 22 × 31631 × 51 × 71 × 1811
LCM(12652,12670) = 80150420