What is the Least Common Multiple of 21168 and 21176?

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 21176 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 21176, than apply into the LCM equation.

GCF(21168,21176) = 8
LCM(21168,21176) = ( 21168 × 21176) / 8
LCM(21168,21176) = 448253568 / 8
LCM(21168,21176) = 56031696

Least Common Multiple (LCM) of 21168 and 21176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21168 and 21176. First we will calculate the prime factors of 21168 and 21176.

Prime Factorization of 21168

Prime Factorization of 21176

Now multiplying the highest exponent prime factors to calculate the LCM of 21168 and 21176.

LCM(21168,21176) = 2⁴ × 3³ × 7² × 2647¹
LCM(21168,21176) = 56031696