What is the Least Common Multiple of 22872 and 22884?

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 22872 and 22884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22872 and 22884, than apply into the LCM equation.

GCF(22872,22884) = 12
LCM(22872,22884) = ( 22872 × 22884) / 12
LCM(22872,22884) = 523402848 / 12
LCM(22872,22884) = 43616904

Least Common Multiple (LCM) of 22872 and 22884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22872 and 22884. First we will calculate the prime factors of 22872 and 22884.

Prime Factorization of 22872

Prime Factorization of 22884

Now multiplying the highest exponent prime factors to calculate the LCM of 22872 and 22884.

LCM(22872,22884) = 2³ × 3¹ × 953¹ × 1907¹
LCM(22872,22884) = 43616904