What is the Least Common Multiple of 22944 and 22956?

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 22944 and 22956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22944 and 22956, than apply into the LCM equation.

GCF(22944,22956) = 12
LCM(22944,22956) = ( 22944 × 22956) / 12
LCM(22944,22956) = 526702464 / 12
LCM(22944,22956) = 43891872

Least Common Multiple (LCM) of 22944 and 22956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22944 and 22956. First we will calculate the prime factors of 22944 and 22956.

Prime Factorization of 22944

Prime Factorization of 22956

Now multiplying the highest exponent prime factors to calculate the LCM of 22944 and 22956.

LCM(22944,22956) = 2⁵ × 3¹ × 239¹ × 1913¹
LCM(22944,22956) = 43891872