What is the Least Common Multiple of 36165 and 36185?

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 36165 and 36185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36165 and 36185, than apply into the LCM equation.

GCF(36165,36185) = 5
LCM(36165,36185) = ( 36165 × 36185) / 5
LCM(36165,36185) = 1308630525 / 5
LCM(36165,36185) = 261726105

Least Common Multiple (LCM) of 36165 and 36185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36165 and 36185. First we will calculate the prime factors of 36165 and 36185.

Prime Factorization of 36165

Prime Factorization of 36185

Now multiplying the highest exponent prime factors to calculate the LCM of 36165 and 36185.

LCM(36165,36185) = 3¹ × 5¹ × 2411¹ × 7237¹
LCM(36165,36185) = 261726105