What is the Least Common Multiple of 60732 and 60742?

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 60732 and 60742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60732 and 60742, than apply into the LCM equation.

GCF(60732,60742) = 2
LCM(60732,60742) = ( 60732 × 60742) / 2
LCM(60732,60742) = 3688983144 / 2
LCM(60732,60742) = 1844491572

Least Common Multiple (LCM) of 60732 and 60742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60732 and 60742. First we will calculate the prime factors of 60732 and 60742.

Prime Factorization of 60732

Prime Factorization of 60742

Now multiplying the highest exponent prime factors to calculate the LCM of 60732 and 60742.

LCM(60732,60742) = 2² × 3² × 7¹ × 241¹ × 11² × 251¹
LCM(60732,60742) = 1844491572