What is the Least Common Multiple of 17982 and 17997?

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 17982 and 17997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17982 and 17997, than apply into the LCM equation.

GCF(17982,17997) = 3
LCM(17982,17997) = ( 17982 × 17997) / 3
LCM(17982,17997) = 323622054 / 3
LCM(17982,17997) = 107874018

Least Common Multiple (LCM) of 17982 and 17997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17982 and 17997. First we will calculate the prime factors of 17982 and 17997.

Prime Factorization of 17982

Prime Factorization of 17997

Now multiplying the highest exponent prime factors to calculate the LCM of 17982 and 17997.

LCM(17982,17997) = 2¹ × 3⁵ × 37¹ × 7¹ × 857¹
LCM(17982,17997) = 107874018