What is the Least Common Multiple of 15729 and 15738?

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 15729 and 15738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15729 and 15738, than apply into the LCM equation.

GCF(15729,15738) = 3
LCM(15729,15738) = ( 15729 × 15738) / 3
LCM(15729,15738) = 247543002 / 3
LCM(15729,15738) = 82514334

Least Common Multiple (LCM) of 15729 and 15738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15729 and 15738. First we will calculate the prime factors of 15729 and 15738.

Prime Factorization of 15729

Prime Factorization of 15738

Now multiplying the highest exponent prime factors to calculate the LCM of 15729 and 15738.

LCM(15729,15738) = 3¹ × 7² × 107¹ × 2¹ × 43¹ × 61¹
LCM(15729,15738) = 82514334