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What is the Least Common Multiple of 12724 and 12739?

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 12739 is 162091036.

LCM(12724,12739) = 162091036

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Least Common Multiple of 12724 and 12739 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 12739, than apply into the LCM equation.

GCF(12724,12739) = 1
LCM(12724,12739) = ( 12724 × 12739) / 1
LCM(12724,12739) = 162091036 / 1
LCM(12724,12739) = 162091036

Least Common Multiple (LCM) of 12724 and 12739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12724 and 12739. First we will calculate the prime factors of 12724 and 12739.

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 12739

Prime factors of 12739 are 12739. Prime factorization of 12739 in exponential form is:

12739 = 127391

Now multiplying the highest exponent prime factors to calculate the LCM of 12724 and 12739.

LCM(12724,12739) = 22 × 31811 × 127391
LCM(12724,12739) = 162091036