What is the Least Common Multiple of 79725 and 79740?

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 79725 and 79740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79725 and 79740, than apply into the LCM equation.

GCF(79725,79740) = 15
LCM(79725,79740) = ( 79725 × 79740) / 15
LCM(79725,79740) = 6357271500 / 15
LCM(79725,79740) = 423818100

Least Common Multiple (LCM) of 79725 and 79740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79725 and 79740. First we will calculate the prime factors of 79725 and 79740.

Prime Factorization of 79725

Prime Factorization of 79740

Now multiplying the highest exponent prime factors to calculate the LCM of 79725 and 79740.

LCM(79725,79740) = 3² × 5² × 1063¹ × 2² × 443¹
LCM(79725,79740) = 423818100