What is the Least Common Multiple of 15714 and 15729?

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 of 15714 and 15729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15714 and 15729, than apply into the LCM equation.

GCF(15714,15729) = 3
LCM(15714,15729) = ( 15714 × 15729) / 3
LCM(15714,15729) = 247165506 / 3
LCM(15714,15729) = 82388502

Least Common Multiple (LCM) of 15714 and 15729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15714 and 15729. First we will calculate the prime factors of 15714 and 15729.

Prime Factorization of 15714

Prime Factorization of 15729

Now multiplying the highest exponent prime factors to calculate the LCM of 15714 and 15729.

LCM(15714,15729) = 2¹ × 3⁴ × 97¹ × 7² × 107¹
LCM(15714,15729) = 82388502