What is the Least Common Multiple of 22191 and 22202?

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 22202 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 22202, than apply into the LCM equation.

GCF(22191,22202) = 1
LCM(22191,22202) = ( 22191 × 22202) / 1
LCM(22191,22202) = 492684582 / 1
LCM(22191,22202) = 492684582

Least Common Multiple (LCM) of 22191 and 22202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22191 and 22202. First we will calculate the prime factors of 22191 and 22202.

Prime Factorization of 22191

Prime Factorization of 22202

Now multiplying the highest exponent prime factors to calculate the LCM of 22191 and 22202.

LCM(22191,22202) = 3¹ × 13¹ × 569¹ × 2¹ × 17¹ × 653¹
LCM(22191,22202) = 492684582