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What is the Least Common Multiple of 12718 and 12733?

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 12718 and 12733 is 161938294.

LCM(12718,12733) = 161938294

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Least Common Multiple of 12718 and 12733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12718 and 12733, than apply into the LCM equation.

GCF(12718,12733) = 1
LCM(12718,12733) = ( 12718 × 12733) / 1
LCM(12718,12733) = 161938294 / 1
LCM(12718,12733) = 161938294

Least Common Multiple (LCM) of 12718 and 12733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12718 and 12733. First we will calculate the prime factors of 12718 and 12733.

Prime Factorization of 12718

Prime factors of 12718 are 2, 6359. Prime factorization of 12718 in exponential form is:

12718 = 21 × 63591

Prime Factorization of 12733

Prime factors of 12733 are 7, 17, 107. Prime factorization of 12733 in exponential form is:

12733 = 71 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 12718 and 12733.

LCM(12718,12733) = 21 × 63591 × 71 × 171 × 1071
LCM(12718,12733) = 161938294