What is the Least Common Multiple of 60756 and 60774?

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 60756 and 60774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60756 and 60774, than apply into the LCM equation.

GCF(60756,60774) = 6
LCM(60756,60774) = ( 60756 × 60774) / 6
LCM(60756,60774) = 3692385144 / 6
LCM(60756,60774) = 615397524

Least Common Multiple (LCM) of 60756 and 60774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60756 and 60774. First we will calculate the prime factors of 60756 and 60774.

Prime Factorization of 60756

Prime Factorization of 60774

Now multiplying the highest exponent prime factors to calculate the LCM of 60756 and 60774.

LCM(60756,60774) = 2² × 3¹ × 61¹ × 83¹ × 7¹ × 1447¹
LCM(60756,60774) = 615397524