What is the Least Common Multiple of 79485 and 79500?

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 79485 and 79500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79485 and 79500, than apply into the LCM equation.

GCF(79485,79500) = 15
LCM(79485,79500) = ( 79485 × 79500) / 15
LCM(79485,79500) = 6319057500 / 15
LCM(79485,79500) = 421270500

Least Common Multiple (LCM) of 79485 and 79500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79485 and 79500. First we will calculate the prime factors of 79485 and 79500.

Prime Factorization of 79485

Prime Factorization of 79500

Now multiplying the highest exponent prime factors to calculate the LCM of 79485 and 79500.

LCM(79485,79500) = 3¹ × 5³ × 7¹ × 757¹ × 2² × 53¹
LCM(79485,79500) = 421270500