What is the Least Common Multiple of 82550 and 82564?

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 82550 and 82564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82550 and 82564, than apply into the LCM equation.

GCF(82550,82564) = 2
LCM(82550,82564) = ( 82550 × 82564) / 2
LCM(82550,82564) = 6815658200 / 2
LCM(82550,82564) = 3407829100

Least Common Multiple (LCM) of 82550 and 82564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82550 and 82564. First we will calculate the prime factors of 82550 and 82564.

Prime Factorization of 82550

Prime Factorization of 82564

Now multiplying the highest exponent prime factors to calculate the LCM of 82550 and 82564.

LCM(82550,82564) = 2² × 5² × 13¹ × 127¹ × 20641¹
LCM(82550,82564) = 3407829100