What is the Least Common Multiple of 28335 and 28344?

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 28335 and 28344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28335 and 28344, than apply into the LCM equation.

GCF(28335,28344) = 3
LCM(28335,28344) = ( 28335 × 28344) / 3
LCM(28335,28344) = 803127240 / 3
LCM(28335,28344) = 267709080

Least Common Multiple (LCM) of 28335 and 28344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28335 and 28344. First we will calculate the prime factors of 28335 and 28344.

Prime Factorization of 28335

Prime Factorization of 28344

Now multiplying the highest exponent prime factors to calculate the LCM of 28335 and 28344.

LCM(28335,28344) = 3¹ × 5¹ × 1889¹ × 2³ × 1181¹
LCM(28335,28344) = 267709080