What is the Least Common Multiple of 82212 and 82231?

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 82212 and 82231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82212 and 82231, than apply into the LCM equation.

GCF(82212,82231) = 1
LCM(82212,82231) = ( 82212 × 82231) / 1
LCM(82212,82231) = 6760374972 / 1
LCM(82212,82231) = 6760374972

Least Common Multiple (LCM) of 82212 and 82231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82212 and 82231. First we will calculate the prime factors of 82212 and 82231.

Prime Factorization of 82212

Prime Factorization of 82231

Now multiplying the highest exponent prime factors to calculate the LCM of 82212 and 82231.

LCM(82212,82231) = 2² × 3¹ × 13¹ × 17¹ × 31¹ × 82231¹
LCM(82212,82231) = 6760374972