What is the Least Common Multiple of 60153 and 60165?

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 60153 and 60165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60153 and 60165, than apply into the LCM equation.

GCF(60153,60165) = 3
LCM(60153,60165) = ( 60153 × 60165) / 3
LCM(60153,60165) = 3619105245 / 3
LCM(60153,60165) = 1206368415

Least Common Multiple (LCM) of 60153 and 60165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60153 and 60165. First we will calculate the prime factors of 60153 and 60165.

Prime Factorization of 60153

Prime Factorization of 60165

Now multiplying the highest exponent prime factors to calculate the LCM of 60153 and 60165.

LCM(60153,60165) = 3² × 20051¹ × 5¹ × 7¹ × 191¹
LCM(60153,60165) = 1206368415