What is the Least Common Multiple of 60384 and 60390?

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 60384 and 60390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60384 and 60390, than apply into the LCM equation.

GCF(60384,60390) = 6
LCM(60384,60390) = ( 60384 × 60390) / 6
LCM(60384,60390) = 3646589760 / 6
LCM(60384,60390) = 607764960

Least Common Multiple (LCM) of 60384 and 60390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60384 and 60390. First we will calculate the prime factors of 60384 and 60390.

Prime Factorization of 60384

Prime Factorization of 60390

Now multiplying the highest exponent prime factors to calculate the LCM of 60384 and 60390.

LCM(60384,60390) = 2⁵ × 3² × 17¹ × 37¹ × 5¹ × 11¹ × 61¹
LCM(60384,60390) = 607764960