What is the Least Common Multiple of 32724 and 32739?

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 32724 and 32739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32724 and 32739, than apply into the LCM equation.

GCF(32724,32739) = 3
LCM(32724,32739) = ( 32724 × 32739) / 3
LCM(32724,32739) = 1071351036 / 3
LCM(32724,32739) = 357117012

Least Common Multiple (LCM) of 32724 and 32739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32724 and 32739. First we will calculate the prime factors of 32724 and 32739.

Prime Factorization of 32724

Prime Factorization of 32739

Now multiplying the highest exponent prime factors to calculate the LCM of 32724 and 32739.

LCM(32724,32739) = 2² × 3⁴ × 101¹ × 7¹ × 1559¹
LCM(32724,32739) = 357117012