What is the Least Common Multiple of 60855 and 60875?

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 60855 and 60875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60855 and 60875, than apply into the LCM equation.

GCF(60855,60875) = 5
LCM(60855,60875) = ( 60855 × 60875) / 5
LCM(60855,60875) = 3704548125 / 5
LCM(60855,60875) = 740909625

Least Common Multiple (LCM) of 60855 and 60875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60855 and 60875. First we will calculate the prime factors of 60855 and 60875.

Prime Factorization of 60855

Prime Factorization of 60875

Now multiplying the highest exponent prime factors to calculate the LCM of 60855 and 60875.

LCM(60855,60875) = 3¹ × 5³ × 4057¹ × 487¹
LCM(60855,60875) = 740909625