What is the Least Common Multiple of 22272 and 22281?

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 22272 and 22281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22272 and 22281, than apply into the LCM equation.

GCF(22272,22281) = 3
LCM(22272,22281) = ( 22272 × 22281) / 3
LCM(22272,22281) = 496242432 / 3
LCM(22272,22281) = 165414144

Least Common Multiple (LCM) of 22272 and 22281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22272 and 22281. First we will calculate the prime factors of 22272 and 22281.

Prime Factorization of 22272

Prime Factorization of 22281

Now multiplying the highest exponent prime factors to calculate the LCM of 22272 and 22281.

LCM(22272,22281) = 2⁸ × 3¹ × 29¹ × 7¹ × 1061¹
LCM(22272,22281) = 165414144