What is the Least Common Multiple of 22272 and 22276?

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 22276 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 22276, than apply into the LCM equation.

GCF(22272,22276) = 4
LCM(22272,22276) = ( 22272 × 22276) / 4
LCM(22272,22276) = 496131072 / 4
LCM(22272,22276) = 124032768

Least Common Multiple (LCM) of 22272 and 22276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22272 and 22276. First we will calculate the prime factors of 22272 and 22276.

Prime Factorization of 22272

Prime Factorization of 22276

Now multiplying the highest exponent prime factors to calculate the LCM of 22272 and 22276.

LCM(22272,22276) = 2⁸ × 3¹ × 29¹ × 5569¹
LCM(22272,22276) = 124032768