What is the Least Common Multiple of 17976 and 17983?

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 17983 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 17983, than apply into the LCM equation.

GCF(17976,17983) = 7
LCM(17976,17983) = ( 17976 × 17983) / 7
LCM(17976,17983) = 323262408 / 7
LCM(17976,17983) = 46180344

Least Common Multiple (LCM) of 17976 and 17983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17976 and 17983. First we will calculate the prime factors of 17976 and 17983.

Prime Factorization of 17976

Prime Factorization of 17983

Now multiplying the highest exponent prime factors to calculate the LCM of 17976 and 17983.

LCM(17976,17983) = 2³ × 3¹ × 7² × 107¹ × 367¹
LCM(17976,17983) = 46180344