What is the Least Common Multiple of 58665 and 58677?

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 58665 and 58677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58665 and 58677, than apply into the LCM equation.

GCF(58665,58677) = 3
LCM(58665,58677) = ( 58665 × 58677) / 3
LCM(58665,58677) = 3442286205 / 3
LCM(58665,58677) = 1147428735

Least Common Multiple (LCM) of 58665 and 58677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58665 and 58677. First we will calculate the prime factors of 58665 and 58677.

Prime Factorization of 58665

Prime Factorization of 58677

Now multiplying the highest exponent prime factors to calculate the LCM of 58665 and 58677.

LCM(58665,58677) = 3¹ × 5¹ × 3911¹ × 19559¹
LCM(58665,58677) = 1147428735