What is the Least Common Multiple of 28206 and 28211?

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 28206 and 28211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28206 and 28211, than apply into the LCM equation.

GCF(28206,28211) = 1
LCM(28206,28211) = ( 28206 × 28211) / 1
LCM(28206,28211) = 795719466 / 1
LCM(28206,28211) = 795719466

Least Common Multiple (LCM) of 28206 and 28211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28206 and 28211. First we will calculate the prime factors of 28206 and 28211.

Prime Factorization of 28206

Prime Factorization of 28211

Now multiplying the highest exponent prime factors to calculate the LCM of 28206 and 28211.

LCM(28206,28211) = 2¹ × 3² × 1567¹ × 28211¹
LCM(28206,28211) = 795719466