What is the Least Common Multiple of 82425 and 82440?

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 82425 and 82440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82425 and 82440, than apply into the LCM equation.

GCF(82425,82440) = 15
LCM(82425,82440) = ( 82425 × 82440) / 15
LCM(82425,82440) = 6795117000 / 15
LCM(82425,82440) = 453007800

Least Common Multiple (LCM) of 82425 and 82440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82425 and 82440. First we will calculate the prime factors of 82425 and 82440.

Prime Factorization of 82425

Prime Factorization of 82440

Now multiplying the highest exponent prime factors to calculate the LCM of 82425 and 82440.

LCM(82425,82440) = 3² × 5² × 7¹ × 157¹ × 2³ × 229¹
LCM(82425,82440) = 453007800