What is the Least Common Multiple of 60378 and 60384?

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 60378 and 60384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60378 and 60384, than apply into the LCM equation.

GCF(60378,60384) = 6
LCM(60378,60384) = ( 60378 × 60384) / 6
LCM(60378,60384) = 3645865152 / 6
LCM(60378,60384) = 607644192

Least Common Multiple (LCM) of 60378 and 60384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60378 and 60384. First we will calculate the prime factors of 60378 and 60384.

Prime Factorization of 60378

Prime Factorization of 60384

Now multiplying the highest exponent prime factors to calculate the LCM of 60378 and 60384.

LCM(60378,60384) = 2⁵ × 3¹ × 29¹ × 347¹ × 17¹ × 37¹
LCM(60378,60384) = 607644192