What is the Least Common Multiple of 22268 and 22272?

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 22268 and 22272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22268 and 22272, than apply into the LCM equation.

GCF(22268,22272) = 4
LCM(22268,22272) = ( 22268 × 22272) / 4
LCM(22268,22272) = 495952896 / 4
LCM(22268,22272) = 123988224

Least Common Multiple (LCM) of 22268 and 22272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22268 and 22272. First we will calculate the prime factors of 22268 and 22272.

Prime Factorization of 22268

Prime Factorization of 22272

Now multiplying the highest exponent prime factors to calculate the LCM of 22268 and 22272.

LCM(22268,22272) = 2⁸ × 19¹ × 293¹ × 3¹ × 29¹
LCM(22268,22272) = 123988224