What is the Least Common Multiple of 79050 and 79065?

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 79050 and 79065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79050 and 79065, than apply into the LCM equation.

GCF(79050,79065) = 15
LCM(79050,79065) = ( 79050 × 79065) / 15
LCM(79050,79065) = 6250088250 / 15
LCM(79050,79065) = 416672550

Least Common Multiple (LCM) of 79050 and 79065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79050 and 79065. First we will calculate the prime factors of 79050 and 79065.

Prime Factorization of 79050

Prime Factorization of 79065

Now multiplying the highest exponent prime factors to calculate the LCM of 79050 and 79065.

LCM(79050,79065) = 2¹ × 3² × 5² × 17¹ × 31¹ × 7¹ × 251¹
LCM(79050,79065) = 416672550