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What is the Least Common Multiple of 13072 and 13079?

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 13072 and 13079 is 170968688.

LCM(13072,13079) = 170968688

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Least Common Multiple of 13072 and 13079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13072 and 13079, than apply into the LCM equation.

GCF(13072,13079) = 1
LCM(13072,13079) = ( 13072 × 13079) / 1
LCM(13072,13079) = 170968688 / 1
LCM(13072,13079) = 170968688

Least Common Multiple (LCM) of 13072 and 13079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13079. First we will calculate the prime factors of 13072 and 13079.

Prime Factorization of 13072

Prime factors of 13072 are 2, 19, 43. Prime factorization of 13072 in exponential form is:

13072 = 24 × 191 × 431

Prime Factorization of 13079

Prime factors of 13079 are 11, 29, 41. Prime factorization of 13079 in exponential form is:

13079 = 111 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13079.

LCM(13072,13079) = 24 × 191 × 431 × 111 × 291 × 411
LCM(13072,13079) = 170968688