What is the Least Common Multiple of 60135 and 60147?

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 60135 and 60147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60135 and 60147, than apply into the LCM equation.

GCF(60135,60147) = 3
LCM(60135,60147) = ( 60135 × 60147) / 3
LCM(60135,60147) = 3616939845 / 3
LCM(60135,60147) = 1205646615

Least Common Multiple (LCM) of 60135 and 60147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60135 and 60147. First we will calculate the prime factors of 60135 and 60147.

Prime Factorization of 60135

Prime Factorization of 60147

Now multiplying the highest exponent prime factors to calculate the LCM of 60135 and 60147.

LCM(60135,60147) = 3² × 5¹ × 19¹ × 211¹ × 41¹ × 163¹
LCM(60135,60147) = 1205646615