What is the Least Common Multiple of 60376 and 60381?

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 60376 and 60381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60376 and 60381, than apply into the LCM equation.

GCF(60376,60381) = 1
LCM(60376,60381) = ( 60376 × 60381) / 1
LCM(60376,60381) = 3645563256 / 1
LCM(60376,60381) = 3645563256

Least Common Multiple (LCM) of 60376 and 60381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60376 and 60381. First we will calculate the prime factors of 60376 and 60381.

Prime Factorization of 60376

Prime Factorization of 60381

Now multiplying the highest exponent prime factors to calculate the LCM of 60376 and 60381.

LCM(60376,60381) = 2³ × 7547¹ × 3² × 6709¹
LCM(60376,60381) = 3645563256