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What is the Least Common Multiple of 12724 and 12732?

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 12724 and 12732 is 40500492.

LCM(12724,12732) = 40500492

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Least Common Multiple of 12724 and 12732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12724 and 12732, than apply into the LCM equation.

GCF(12724,12732) = 4
LCM(12724,12732) = ( 12724 × 12732) / 4
LCM(12724,12732) = 162001968 / 4
LCM(12724,12732) = 40500492

Least Common Multiple (LCM) of 12724 and 12732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12724 and 12732. First we will calculate the prime factors of 12724 and 12732.

Prime Factorization of 12724

Prime factors of 12724 are 2, 3181. Prime factorization of 12724 in exponential form is:

12724 = 22 × 31811

Prime Factorization of 12732

Prime factors of 12732 are 2, 3, 1061. Prime factorization of 12732 in exponential form is:

12732 = 22 × 31 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 12724 and 12732.

LCM(12724,12732) = 22 × 31811 × 31 × 10611
LCM(12724,12732) = 40500492