What is the Least Common Multiple of 22932 and 22944?

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 22932 and 22944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22932 and 22944, than apply into the LCM equation.

GCF(22932,22944) = 12
LCM(22932,22944) = ( 22932 × 22944) / 12
LCM(22932,22944) = 526151808 / 12
LCM(22932,22944) = 43845984

Least Common Multiple (LCM) of 22932 and 22944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22932 and 22944. First we will calculate the prime factors of 22932 and 22944.

Prime Factorization of 22932

Prime Factorization of 22944

Now multiplying the highest exponent prime factors to calculate the LCM of 22932 and 22944.

LCM(22932,22944) = 2⁵ × 3² × 7² × 13¹ × 239¹
LCM(22932,22944) = 43845984