What is the Least Common Multiple of 82572 and 82581?

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 82572 and 82581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82572 and 82581, than apply into the LCM equation.

GCF(82572,82581) = 3
LCM(82572,82581) = ( 82572 × 82581) / 3
LCM(82572,82581) = 6818878332 / 3
LCM(82572,82581) = 2272959444

Least Common Multiple (LCM) of 82572 and 82581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82572 and 82581. First we will calculate the prime factors of 82572 and 82581.

Prime Factorization of 82572

Prime Factorization of 82581

Now multiplying the highest exponent prime factors to calculate the LCM of 82572 and 82581.

LCM(82572,82581) = 2² × 3¹ × 7¹ × 983¹ × 27527¹
LCM(82572,82581) = 2272959444