What is the Least Common Multiple of 22197 and 22205?

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 22197 and 22205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22197 and 22205, than apply into the LCM equation.

GCF(22197,22205) = 1
LCM(22197,22205) = ( 22197 × 22205) / 1
LCM(22197,22205) = 492884385 / 1
LCM(22197,22205) = 492884385

Least Common Multiple (LCM) of 22197 and 22205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22197 and 22205. First we will calculate the prime factors of 22197 and 22205.

Prime Factorization of 22197

Prime Factorization of 22205

Now multiplying the highest exponent prime factors to calculate the LCM of 22197 and 22205.

LCM(22197,22205) = 3¹ × 7² × 151¹ × 5¹ × 4441¹
LCM(22197,22205) = 492884385