What is the Least Common Multiple of 22191 and 22199?

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 22191 and 22199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22191 and 22199, than apply into the LCM equation.

GCF(22191,22199) = 1
LCM(22191,22199) = ( 22191 × 22199) / 1
LCM(22191,22199) = 492618009 / 1
LCM(22191,22199) = 492618009

Least Common Multiple (LCM) of 22191 and 22199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22191 and 22199. First we will calculate the prime factors of 22191 and 22199.

Prime Factorization of 22191

Prime Factorization of 22199

Now multiplying the highest exponent prime factors to calculate the LCM of 22191 and 22199.

LCM(22191,22199) = 3¹ × 13¹ × 569¹ × 79¹ × 281¹
LCM(22191,22199) = 492618009