What is the Least Common Multiple of 21168 and 21188?

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 21188 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 21188, than apply into the LCM equation.

GCF(21168,21188) = 4
LCM(21168,21188) = ( 21168 × 21188) / 4
LCM(21168,21188) = 448507584 / 4
LCM(21168,21188) = 112126896

Least Common Multiple (LCM) of 21168 and 21188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21168 and 21188. First we will calculate the prime factors of 21168 and 21188.

Prime Factorization of 21168

Prime Factorization of 21188

Now multiplying the highest exponent prime factors to calculate the LCM of 21168 and 21188.

LCM(21168,21188) = 2⁴ × 3³ × 7² × 5297¹
LCM(21168,21188) = 112126896