What is the Least Common Multiple of 21168 and 21187?

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 21187 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 21187, than apply into the LCM equation.

GCF(21168,21187) = 1
LCM(21168,21187) = ( 21168 × 21187) / 1
LCM(21168,21187) = 448486416 / 1
LCM(21168,21187) = 448486416

Least Common Multiple (LCM) of 21168 and 21187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21168 and 21187. First we will calculate the prime factors of 21168 and 21187.

Prime Factorization of 21168

Prime Factorization of 21187

Now multiplying the highest exponent prime factors to calculate the LCM of 21168 and 21187.

LCM(21168,21187) = 2⁴ × 3³ × 7² × 21187¹
LCM(21168,21187) = 448486416