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What is the Least Common Multiple of 12715 and 12730?

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 12715 and 12730 is 32372390.

LCM(12715,12730) = 32372390

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Least Common Multiple of 12715 and 12730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12715 and 12730, than apply into the LCM equation.

GCF(12715,12730) = 5
LCM(12715,12730) = ( 12715 × 12730) / 5
LCM(12715,12730) = 161861950 / 5
LCM(12715,12730) = 32372390

Least Common Multiple (LCM) of 12715 and 12730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12715 and 12730. First we will calculate the prime factors of 12715 and 12730.

Prime Factorization of 12715

Prime factors of 12715 are 5, 2543. Prime factorization of 12715 in exponential form is:

12715 = 51 × 25431

Prime Factorization of 12730

Prime factors of 12730 are 2, 5, 19, 67. Prime factorization of 12730 in exponential form is:

12730 = 21 × 51 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 12715 and 12730.

LCM(12715,12730) = 51 × 25431 × 21 × 191 × 671
LCM(12715,12730) = 32372390