What is the Least Common Multiple of 22284 and 22288?

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 22284 and 22288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22284 and 22288, than apply into the LCM equation.

GCF(22284,22288) = 4
LCM(22284,22288) = ( 22284 × 22288) / 4
LCM(22284,22288) = 496665792 / 4
LCM(22284,22288) = 124166448

Least Common Multiple (LCM) of 22284 and 22288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22284 and 22288. First we will calculate the prime factors of 22284 and 22288.

Prime Factorization of 22284

Prime Factorization of 22288

Now multiplying the highest exponent prime factors to calculate the LCM of 22284 and 22288.

LCM(22284,22288) = 2⁴ × 3² × 619¹ × 7¹ × 199¹
LCM(22284,22288) = 124166448