What is the Least Common Multiple of 60750 and 60756?

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 60750 and 60756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60750 and 60756, than apply into the LCM equation.

GCF(60750,60756) = 6
LCM(60750,60756) = ( 60750 × 60756) / 6
LCM(60750,60756) = 3690927000 / 6
LCM(60750,60756) = 615154500

Least Common Multiple (LCM) of 60750 and 60756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60750 and 60756. First we will calculate the prime factors of 60750 and 60756.

Prime Factorization of 60750

Prime Factorization of 60756

Now multiplying the highest exponent prime factors to calculate the LCM of 60750 and 60756.

LCM(60750,60756) = 2² × 3⁵ × 5³ × 61¹ × 83¹
LCM(60750,60756) = 615154500