What is the Least Common Multiple of 82564 and 82584?

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 82564 and 82584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82564 and 82584, than apply into the LCM equation.

GCF(82564,82584) = 4
LCM(82564,82584) = ( 82564 × 82584) / 4
LCM(82564,82584) = 6818465376 / 4
LCM(82564,82584) = 1704616344

Least Common Multiple (LCM) of 82564 and 82584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82564 and 82584. First we will calculate the prime factors of 82564 and 82584.

Prime Factorization of 82564

Prime Factorization of 82584

Now multiplying the highest exponent prime factors to calculate the LCM of 82564 and 82584.

LCM(82564,82584) = 2³ × 20641¹ × 3² × 31¹ × 37¹
LCM(82564,82584) = 1704616344