What is the Least Common Multiple of 60357 and 60375?

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 60357 and 60375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60357 and 60375, than apply into the LCM equation.

GCF(60357,60375) = 3
LCM(60357,60375) = ( 60357 × 60375) / 3
LCM(60357,60375) = 3644053875 / 3
LCM(60357,60375) = 1214684625

Least Common Multiple (LCM) of 60357 and 60375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60357 and 60375. First we will calculate the prime factors of 60357 and 60375.

Prime Factorization of 60357

Prime Factorization of 60375

Now multiplying the highest exponent prime factors to calculate the LCM of 60357 and 60375.

LCM(60357,60375) = 3¹ × 11¹ × 31¹ × 59¹ × 5³ × 7¹ × 23¹
LCM(60357,60375) = 1214684625