What is the Least Common Multiple of 28944 and 28959?

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 28944 and 28959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28944 and 28959, than apply into the LCM equation.

GCF(28944,28959) = 3
LCM(28944,28959) = ( 28944 × 28959) / 3
LCM(28944,28959) = 838189296 / 3
LCM(28944,28959) = 279396432

Least Common Multiple (LCM) of 28944 and 28959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28944 and 28959. First we will calculate the prime factors of 28944 and 28959.

Prime Factorization of 28944

Prime Factorization of 28959

Now multiplying the highest exponent prime factors to calculate the LCM of 28944 and 28959.

LCM(28944,28959) = 2⁴ × 3³ × 67¹ × 7² × 197¹
LCM(28944,28959) = 279396432