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What is the Least Common Multiple of 12717 and 12735?

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 12717 and 12735 is 17994555.

LCM(12717,12735) = 17994555

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Least Common Multiple of 12717 and 12735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12717 and 12735, than apply into the LCM equation.

GCF(12717,12735) = 9
LCM(12717,12735) = ( 12717 × 12735) / 9
LCM(12717,12735) = 161950995 / 9
LCM(12717,12735) = 17994555

Least Common Multiple (LCM) of 12717 and 12735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12717 and 12735. First we will calculate the prime factors of 12717 and 12735.

Prime Factorization of 12717

Prime factors of 12717 are 3, 157. Prime factorization of 12717 in exponential form is:

12717 = 34 × 1571

Prime Factorization of 12735

Prime factors of 12735 are 3, 5, 283. Prime factorization of 12735 in exponential form is:

12735 = 32 × 51 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 12717 and 12735.

LCM(12717,12735) = 34 × 1571 × 51 × 2831
LCM(12717,12735) = 17994555