What is the Least Common Multiple of 60165 and 60177?

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 60165 and 60177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60165 and 60177, than apply into the LCM equation.

GCF(60165,60177) = 3
LCM(60165,60177) = ( 60165 × 60177) / 3
LCM(60165,60177) = 3620549205 / 3
LCM(60165,60177) = 1206849735

Least Common Multiple (LCM) of 60165 and 60177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60165 and 60177. First we will calculate the prime factors of 60165 and 60177.

Prime Factorization of 60165

Prime Factorization of 60177

Now multiplying the highest exponent prime factors to calculate the LCM of 60165 and 60177.

LCM(60165,60177) = 3² × 5¹ × 7¹ × 191¹ × 13¹ × 1543¹
LCM(60165,60177) = 1206849735