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What is the Least Common Multiple of 13718 and 13729?

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 13718 and 13729 is 188334422.

LCM(13718,13729) = 188334422

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Least Common Multiple of 13718 and 13729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13718 and 13729, than apply into the LCM equation.

GCF(13718,13729) = 1
LCM(13718,13729) = ( 13718 × 13729) / 1
LCM(13718,13729) = 188334422 / 1
LCM(13718,13729) = 188334422

Least Common Multiple (LCM) of 13718 and 13729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13718 and 13729. First we will calculate the prime factors of 13718 and 13729.

Prime Factorization of 13718

Prime factors of 13718 are 2, 19. Prime factorization of 13718 in exponential form is:

13718 = 21 × 193

Prime Factorization of 13729

Prime factors of 13729 are 13729. Prime factorization of 13729 in exponential form is:

13729 = 137291

Now multiplying the highest exponent prime factors to calculate the LCM of 13718 and 13729.

LCM(13718,13729) = 21 × 193 × 137291
LCM(13718,13729) = 188334422