What is the Least Common Multiple of 22218 and 22224?

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 22218 and 22224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22218 and 22224, than apply into the LCM equation.

GCF(22218,22224) = 6
LCM(22218,22224) = ( 22218 × 22224) / 6
LCM(22218,22224) = 493772832 / 6
LCM(22218,22224) = 82295472

Least Common Multiple (LCM) of 22218 and 22224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22218 and 22224. First we will calculate the prime factors of 22218 and 22224.

Prime Factorization of 22218

Prime Factorization of 22224

Now multiplying the highest exponent prime factors to calculate the LCM of 22218 and 22224.

LCM(22218,22224) = 2⁴ × 3¹ × 7¹ × 23² × 463¹
LCM(22218,22224) = 82295472