What is the Least Common Multiple of 60714 and 60732?

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 60714 and 60732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60714 and 60732, than apply into the LCM equation.

GCF(60714,60732) = 18
LCM(60714,60732) = ( 60714 × 60732) / 18
LCM(60714,60732) = 3687282648 / 18
LCM(60714,60732) = 204849036

Least Common Multiple (LCM) of 60714 and 60732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60714 and 60732. First we will calculate the prime factors of 60714 and 60732.

Prime Factorization of 60714

Prime Factorization of 60732

Now multiplying the highest exponent prime factors to calculate the LCM of 60714 and 60732.

LCM(60714,60732) = 2² × 3² × 3373¹ × 7¹ × 241¹
LCM(60714,60732) = 204849036