What is the Least Common Multiple of 60378 and 60387?

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 60387 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 60387, than apply into the LCM equation.

GCF(60378,60387) = 3
LCM(60378,60387) = ( 60378 × 60387) / 3
LCM(60378,60387) = 3646046286 / 3
LCM(60378,60387) = 1215348762

Least Common Multiple (LCM) of 60378 and 60387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60378 and 60387. First we will calculate the prime factors of 60378 and 60387.

Prime Factorization of 60378

Prime Factorization of 60387

Now multiplying the highest exponent prime factors to calculate the LCM of 60378 and 60387.

LCM(60378,60387) = 2¹ × 3¹ × 29¹ × 347¹ × 20129¹
LCM(60378,60387) = 1215348762