What is the Least Common Multiple of 60744 and 60764?

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 60744 and 60764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60744 and 60764, than apply into the LCM equation.

GCF(60744,60764) = 4
LCM(60744,60764) = ( 60744 × 60764) / 4
LCM(60744,60764) = 3691048416 / 4
LCM(60744,60764) = 922762104

Least Common Multiple (LCM) of 60744 and 60764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60744 and 60764. First we will calculate the prime factors of 60744 and 60764.

Prime Factorization of 60744

Prime Factorization of 60764

Now multiplying the highest exponent prime factors to calculate the LCM of 60744 and 60764.

LCM(60744,60764) = 2³ × 3¹ × 2531¹ × 11¹ × 1381¹
LCM(60744,60764) = 922762104