What is the Least Common Multiple of 82508 and 82524?

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 82508 and 82524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82508 and 82524, than apply into the LCM equation.

GCF(82508,82524) = 4
LCM(82508,82524) = ( 82508 × 82524) / 4
LCM(82508,82524) = 6808890192 / 4
LCM(82508,82524) = 1702222548

Least Common Multiple (LCM) of 82508 and 82524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82508 and 82524. First we will calculate the prime factors of 82508 and 82524.

Prime Factorization of 82508

Prime Factorization of 82524

Now multiplying the highest exponent prime factors to calculate the LCM of 82508 and 82524.

LCM(82508,82524) = 2² × 20627¹ × 3¹ × 13¹ × 23²
LCM(82508,82524) = 1702222548