What is the Least Common Multiple of 82254 and 82271?

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 82254 and 82271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82254 and 82271, than apply into the LCM equation.

GCF(82254,82271) = 1
LCM(82254,82271) = ( 82254 × 82271) / 1
LCM(82254,82271) = 6767118834 / 1
LCM(82254,82271) = 6767118834

Least Common Multiple (LCM) of 82254 and 82271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82254 and 82271. First we will calculate the prime factors of 82254 and 82271.

Prime Factorization of 82254

Prime Factorization of 82271

Now multiplying the highest exponent prime factors to calculate the LCM of 82254 and 82271.

LCM(82254,82271) = 2¹ × 3¹ × 13709¹ × 7² × 23¹ × 73¹
LCM(82254,82271) = 6767118834