What is the Least Common Multiple of 60742 and 60752?

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 60742 and 60752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60742 and 60752, than apply into the LCM equation.

GCF(60742,60752) = 2
LCM(60742,60752) = ( 60742 × 60752) / 2
LCM(60742,60752) = 3690197984 / 2
LCM(60742,60752) = 1845098992

Least Common Multiple (LCM) of 60742 and 60752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60742 and 60752. First we will calculate the prime factors of 60742 and 60752.

Prime Factorization of 60742

Prime Factorization of 60752

Now multiplying the highest exponent prime factors to calculate the LCM of 60742 and 60752.

LCM(60742,60752) = 2⁴ × 11² × 251¹ × 3797¹
LCM(60742,60752) = 1845098992