What is the Least Common Multiple of 22136 and 22144?

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 22136 and 22144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22136 and 22144, than apply into the LCM equation.

GCF(22136,22144) = 8
LCM(22136,22144) = ( 22136 × 22144) / 8
LCM(22136,22144) = 490179584 / 8
LCM(22136,22144) = 61272448

Least Common Multiple (LCM) of 22136 and 22144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22136 and 22144. First we will calculate the prime factors of 22136 and 22144.

Prime Factorization of 22136

Prime Factorization of 22144

Now multiplying the highest exponent prime factors to calculate the LCM of 22136 and 22144.

LCM(22136,22144) = 2⁷ × 2767¹ × 173¹
LCM(22136,22144) = 61272448