What is the Least Common Multiple of 18165 and 18177?

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 18165 and 18177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18165 and 18177, than apply into the LCM equation.

GCF(18165,18177) = 3
LCM(18165,18177) = ( 18165 × 18177) / 3
LCM(18165,18177) = 330185205 / 3
LCM(18165,18177) = 110061735

Least Common Multiple (LCM) of 18165 and 18177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18165 and 18177. First we will calculate the prime factors of 18165 and 18177.

Prime Factorization of 18165

Prime Factorization of 18177

Now multiplying the highest exponent prime factors to calculate the LCM of 18165 and 18177.

LCM(18165,18177) = 3¹ × 5¹ × 7¹ × 173¹ × 73¹ × 83¹
LCM(18165,18177) = 110061735