What is the Least Common Multiple of 17976 and 17991?

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 17991 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 17991, than apply into the LCM equation.

GCF(17976,17991) = 3
LCM(17976,17991) = ( 17976 × 17991) / 3
LCM(17976,17991) = 323406216 / 3
LCM(17976,17991) = 107802072

Least Common Multiple (LCM) of 17976 and 17991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17976 and 17991. First we will calculate the prime factors of 17976 and 17991.

Prime Factorization of 17976

Prime Factorization of 17991

Now multiplying the highest exponent prime factors to calculate the LCM of 17976 and 17991.

LCM(17976,17991) = 2³ × 3² × 7¹ × 107¹ × 1999¹
LCM(17976,17991) = 107802072