What is the Least Common Multiple of 39165 and 39180?

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 39165 and 39180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39165 and 39180, than apply into the LCM equation.

GCF(39165,39180) = 15
LCM(39165,39180) = ( 39165 × 39180) / 15
LCM(39165,39180) = 1534484700 / 15
LCM(39165,39180) = 102298980

Least Common Multiple (LCM) of 39165 and 39180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39165 and 39180. First we will calculate the prime factors of 39165 and 39180.

Prime Factorization of 39165

Prime Factorization of 39180

Now multiplying the highest exponent prime factors to calculate the LCM of 39165 and 39180.

LCM(39165,39180) = 3¹ × 5¹ × 7¹ × 373¹ × 2² × 653¹
LCM(39165,39180) = 102298980