What is the Least Common Multiple of 82410 and 82425?

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 82410 and 82425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82410 and 82425, than apply into the LCM equation.

GCF(82410,82425) = 15
LCM(82410,82425) = ( 82410 × 82425) / 15
LCM(82410,82425) = 6792644250 / 15
LCM(82410,82425) = 452842950

Least Common Multiple (LCM) of 82410 and 82425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82410 and 82425. First we will calculate the prime factors of 82410 and 82425.

Prime Factorization of 82410

Prime Factorization of 82425

Now multiplying the highest exponent prime factors to calculate the LCM of 82410 and 82425.

LCM(82410,82425) = 2¹ × 3¹ × 5² × 41¹ × 67¹ × 7¹ × 157¹
LCM(82410,82425) = 452842950