What is the Least Common Multiple of 82519 and 82528?

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 82519 and 82528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82519 and 82528, than apply into the LCM equation.

GCF(82519,82528) = 1
LCM(82519,82528) = ( 82519 × 82528) / 1
LCM(82519,82528) = 6810128032 / 1
LCM(82519,82528) = 6810128032

Least Common Multiple (LCM) of 82519 and 82528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82519 and 82528. First we will calculate the prime factors of 82519 and 82528.

Prime Factorization of 82519

Prime Factorization of 82528

Now multiplying the highest exponent prime factors to calculate the LCM of 82519 and 82528.

LCM(82519,82528) = 179¹ × 461¹ × 2⁵ × 2579¹
LCM(82519,82528) = 6810128032