What is the Least Common Multiple of 22884 and 22898?

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 22884 and 22898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22884 and 22898, than apply into the LCM equation.

GCF(22884,22898) = 2
LCM(22884,22898) = ( 22884 × 22898) / 2
LCM(22884,22898) = 523997832 / 2
LCM(22884,22898) = 261998916

Least Common Multiple (LCM) of 22884 and 22898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22884 and 22898. First we will calculate the prime factors of 22884 and 22898.

Prime Factorization of 22884

Prime Factorization of 22898

Now multiplying the highest exponent prime factors to calculate the LCM of 22884 and 22898.

LCM(22884,22898) = 2² × 3¹ × 1907¹ × 107²
LCM(22884,22898) = 261998916