What is the Least Common Multiple of 82524 and 82544?

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 82524 and 82544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82524 and 82544, than apply into the LCM equation.

GCF(82524,82544) = 4
LCM(82524,82544) = ( 82524 × 82544) / 4
LCM(82524,82544) = 6811861056 / 4
LCM(82524,82544) = 1702965264

Least Common Multiple (LCM) of 82524 and 82544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82524 and 82544. First we will calculate the prime factors of 82524 and 82544.

Prime Factorization of 82524

Prime Factorization of 82544

Now multiplying the highest exponent prime factors to calculate the LCM of 82524 and 82544.

LCM(82524,82544) = 2⁴ × 3¹ × 13¹ × 23² × 7¹ × 11¹ × 67¹
LCM(82524,82544) = 1702965264