What is the Least Common Multiple of 21168 and 21183?

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 21168 and 21183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21168 and 21183, than apply into the LCM equation.

GCF(21168,21183) = 3
LCM(21168,21183) = ( 21168 × 21183) / 3
LCM(21168,21183) = 448401744 / 3
LCM(21168,21183) = 149467248

Least Common Multiple (LCM) of 21168 and 21183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21168 and 21183. First we will calculate the prime factors of 21168 and 21183.

Prime Factorization of 21168

Prime Factorization of 21183

Now multiplying the highest exponent prime factors to calculate the LCM of 21168 and 21183.

LCM(21168,21183) = 2⁴ × 3³ × 7² × 23¹ × 307¹
LCM(21168,21183) = 149467248