What is the Least Common Multiple of 60724 and 60743?

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 60724 and 60743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60724 and 60743, than apply into the LCM equation.

GCF(60724,60743) = 19
LCM(60724,60743) = ( 60724 × 60743) / 19
LCM(60724,60743) = 3688557932 / 19
LCM(60724,60743) = 194134628

Least Common Multiple (LCM) of 60724 and 60743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60724 and 60743. First we will calculate the prime factors of 60724 and 60743.

Prime Factorization of 60724

Prime Factorization of 60743

Now multiplying the highest exponent prime factors to calculate the LCM of 60724 and 60743.

LCM(60724,60743) = 2² × 17¹ × 19¹ × 47¹ × 23¹ × 139¹
LCM(60724,60743) = 194134628