What is the Least Common Multiple of 22144 and 22149?

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 22144 and 22149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22144 and 22149, than apply into the LCM equation.

GCF(22144,22149) = 1
LCM(22144,22149) = ( 22144 × 22149) / 1
LCM(22144,22149) = 490467456 / 1
LCM(22144,22149) = 490467456

Least Common Multiple (LCM) of 22144 and 22149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22144 and 22149. First we will calculate the prime factors of 22144 and 22149.

Prime Factorization of 22144

Prime Factorization of 22149

Now multiplying the highest exponent prime factors to calculate the LCM of 22144 and 22149.

LCM(22144,22149) = 2⁷ × 173¹ × 3² × 23¹ × 107¹
LCM(22144,22149) = 490467456