What is the Least Common Multiple of 60735 and 60750?

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 60735 and 60750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60735 and 60750, than apply into the LCM equation.

GCF(60735,60750) = 15
LCM(60735,60750) = ( 60735 × 60750) / 15
LCM(60735,60750) = 3689651250 / 15
LCM(60735,60750) = 245976750

Least Common Multiple (LCM) of 60735 and 60750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60735 and 60750. First we will calculate the prime factors of 60735 and 60750.

Prime Factorization of 60735

Prime Factorization of 60750

Now multiplying the highest exponent prime factors to calculate the LCM of 60735 and 60750.

LCM(60735,60750) = 3⁵ × 5³ × 4049¹ × 2¹
LCM(60735,60750) = 245976750