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What is the Least Common Multiple of 13047 and 13058?

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 13047 and 13058 is 170367726.

LCM(13047,13058) = 170367726

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Least Common Multiple of 13047 and 13058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13047 and 13058, than apply into the LCM equation.

GCF(13047,13058) = 1
LCM(13047,13058) = ( 13047 × 13058) / 1
LCM(13047,13058) = 170367726 / 1
LCM(13047,13058) = 170367726

Least Common Multiple (LCM) of 13047 and 13058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13047 and 13058. First we will calculate the prime factors of 13047 and 13058.

Prime Factorization of 13047

Prime factors of 13047 are 3, 4349. Prime factorization of 13047 in exponential form is:

13047 = 31 × 43491

Prime Factorization of 13058

Prime factors of 13058 are 2, 6529. Prime factorization of 13058 in exponential form is:

13058 = 21 × 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 13047 and 13058.

LCM(13047,13058) = 31 × 43491 × 21 × 65291
LCM(13047,13058) = 170367726