What is the Least Common Multiple of 60138 and 60144?

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 60138 and 60144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60138 and 60144, than apply into the LCM equation.

GCF(60138,60144) = 6
LCM(60138,60144) = ( 60138 × 60144) / 6
LCM(60138,60144) = 3616939872 / 6
LCM(60138,60144) = 602823312

Least Common Multiple (LCM) of 60138 and 60144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60138 and 60144. First we will calculate the prime factors of 60138 and 60144.

Prime Factorization of 60138

Prime Factorization of 60144

Now multiplying the highest exponent prime factors to calculate the LCM of 60138 and 60144.

LCM(60138,60144) = 2⁴ × 3² × 13¹ × 257¹ × 7¹ × 179¹
LCM(60138,60144) = 602823312