What is the Least Common Multiple of 60144 and 60153?

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 60144 and 60153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60144 and 60153, than apply into the LCM equation.

GCF(60144,60153) = 3
LCM(60144,60153) = ( 60144 × 60153) / 3
LCM(60144,60153) = 3617842032 / 3
LCM(60144,60153) = 1205947344

Least Common Multiple (LCM) of 60144 and 60153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60144 and 60153. First we will calculate the prime factors of 60144 and 60153.

Prime Factorization of 60144

Prime Factorization of 60153

Now multiplying the highest exponent prime factors to calculate the LCM of 60144 and 60153.

LCM(60144,60153) = 2⁴ × 3¹ × 7¹ × 179¹ × 20051¹
LCM(60144,60153) = 1205947344