What is the Least Common Multiple of 17976 and 17992?

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 17976 and 17992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17976 and 17992, than apply into the LCM equation.

GCF(17976,17992) = 8
LCM(17976,17992) = ( 17976 × 17992) / 8
LCM(17976,17992) = 323424192 / 8
LCM(17976,17992) = 40428024

Least Common Multiple (LCM) of 17976 and 17992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17976 and 17992. First we will calculate the prime factors of 17976 and 17992.

Prime Factorization of 17976

Prime Factorization of 17992

Now multiplying the highest exponent prime factors to calculate the LCM of 17976 and 17992.

LCM(17976,17992) = 2³ × 3¹ × 7¹ × 107¹ × 13¹ × 173¹
LCM(17976,17992) = 40428024