What is the Least Common Multiple of 28206 and 28221?

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 28221 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 28221, than apply into the LCM equation.

GCF(28206,28221) = 3
LCM(28206,28221) = ( 28206 × 28221) / 3
LCM(28206,28221) = 796001526 / 3
LCM(28206,28221) = 265333842

Least Common Multiple (LCM) of 28206 and 28221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28206 and 28221. First we will calculate the prime factors of 28206 and 28221.

Prime Factorization of 28206

Prime Factorization of 28221

Now multiplying the highest exponent prime factors to calculate the LCM of 28206 and 28221.

LCM(28206,28221) = 2¹ × 3² × 1567¹ × 23¹ × 409¹
LCM(28206,28221) = 265333842