What is the Least Common Multiple of 82506 and 82521?

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 82506 and 82521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82506 and 82521, than apply into the LCM equation.

GCF(82506,82521) = 3
LCM(82506,82521) = ( 82506 × 82521) / 3
LCM(82506,82521) = 6808477626 / 3
LCM(82506,82521) = 2269492542

Least Common Multiple (LCM) of 82506 and 82521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82506 and 82521. First we will calculate the prime factors of 82506 and 82521.

Prime Factorization of 82506

Prime Factorization of 82521

Now multiplying the highest exponent prime factors to calculate the LCM of 82506 and 82521.

LCM(82506,82521) = 2¹ × 3² × 13751¹ × 53¹ × 173¹
LCM(82506,82521) = 2269492542