What is the Least Common Multiple of 60165 and 60171?

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 60171 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 60171, than apply into the LCM equation.

GCF(60165,60171) = 3
LCM(60165,60171) = ( 60165 × 60171) / 3
LCM(60165,60171) = 3620188215 / 3
LCM(60165,60171) = 1206729405

Least Common Multiple (LCM) of 60165 and 60171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60165 and 60171. First we will calculate the prime factors of 60165 and 60171.

Prime Factorization of 60165

Prime Factorization of 60171

Now multiplying the highest exponent prime factors to calculate the LCM of 60165 and 60171.

LCM(60165,60171) = 3² × 5¹ × 7¹ × 191¹ × 31¹ × 647¹
LCM(60165,60171) = 1206729405