What is the Least Common Multiple of 36145 and 36165?

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 36145 and 36165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36145 and 36165, than apply into the LCM equation.

GCF(36145,36165) = 5
LCM(36145,36165) = ( 36145 × 36165) / 5
LCM(36145,36165) = 1307183925 / 5
LCM(36145,36165) = 261436785

Least Common Multiple (LCM) of 36145 and 36165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36145 and 36165. First we will calculate the prime factors of 36145 and 36165.

Prime Factorization of 36145

Prime Factorization of 36165

Now multiplying the highest exponent prime factors to calculate the LCM of 36145 and 36165.

LCM(36145,36165) = 5¹ × 7229¹ × 3¹ × 2411¹
LCM(36145,36165) = 261436785