What is the Least Common Multiple of 61713 and 61725?

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 61713 and 61725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61713 and 61725, than apply into the LCM equation.

GCF(61713,61725) = 3
LCM(61713,61725) = ( 61713 × 61725) / 3
LCM(61713,61725) = 3809234925 / 3
LCM(61713,61725) = 1269744975

Least Common Multiple (LCM) of 61713 and 61725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61713 and 61725. First we will calculate the prime factors of 61713 and 61725.

Prime Factorization of 61713

Prime Factorization of 61725

Now multiplying the highest exponent prime factors to calculate the LCM of 61713 and 61725.

LCM(61713,61725) = 3² × 6857¹ × 5² × 823¹
LCM(61713,61725) = 1269744975