What is the Least Common Multiple of 83211 and 83227?

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 83211 and 83227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83211 and 83227, than apply into the LCM equation.

GCF(83211,83227) = 1
LCM(83211,83227) = ( 83211 × 83227) / 1
LCM(83211,83227) = 6925401897 / 1
LCM(83211,83227) = 6925401897

Least Common Multiple (LCM) of 83211 and 83227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83211 and 83227. First we will calculate the prime factors of 83211 and 83227.

Prime Factorization of 83211

Prime Factorization of 83227

Now multiplying the highest exponent prime factors to calculate the LCM of 83211 and 83227.

LCM(83211,83227) = 3¹ × 27737¹ × 83227¹
LCM(83211,83227) = 6925401897