What is the Least Common Multiple of 22119 and 22128?

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 22119 and 22128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22119 and 22128, than apply into the LCM equation.

GCF(22119,22128) = 3
LCM(22119,22128) = ( 22119 × 22128) / 3
LCM(22119,22128) = 489449232 / 3
LCM(22119,22128) = 163149744

Least Common Multiple (LCM) of 22119 and 22128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22119 and 22128. First we will calculate the prime factors of 22119 and 22128.

Prime Factorization of 22119

Prime Factorization of 22128

Now multiplying the highest exponent prime factors to calculate the LCM of 22119 and 22128.

LCM(22119,22128) = 3¹ × 73¹ × 101¹ × 2⁴ × 461¹
LCM(22119,22128) = 163149744