What is the Least Common Multiple of 60750 and 60765?

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 60765 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 60765, than apply into the LCM equation.

GCF(60750,60765) = 15
LCM(60750,60765) = ( 60750 × 60765) / 15
LCM(60750,60765) = 3691473750 / 15
LCM(60750,60765) = 246098250

Least Common Multiple (LCM) of 60750 and 60765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60750 and 60765. First we will calculate the prime factors of 60750 and 60765.

Prime Factorization of 60750

Prime Factorization of 60765

Now multiplying the highest exponent prime factors to calculate the LCM of 60750 and 60765.

LCM(60750,60765) = 2¹ × 3⁵ × 5³ × 4051¹
LCM(60750,60765) = 246098250