What is the Least Common Multiple of 69150 and 69165?

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 69150 and 69165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69150 and 69165, than apply into the LCM equation.

GCF(69150,69165) = 15
LCM(69150,69165) = ( 69150 × 69165) / 15
LCM(69150,69165) = 4782759750 / 15
LCM(69150,69165) = 318850650

Least Common Multiple (LCM) of 69150 and 69165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69150 and 69165. First we will calculate the prime factors of 69150 and 69165.

Prime Factorization of 69150

Prime Factorization of 69165

Now multiplying the highest exponent prime factors to calculate the LCM of 69150 and 69165.

LCM(69150,69165) = 2¹ × 3² × 5² × 461¹ × 29¹ × 53¹
LCM(69150,69165) = 318850650