What is the Least Common Multiple of 35982 and 35997?

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 35982 and 35997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35982 and 35997, than apply into the LCM equation.

GCF(35982,35997) = 3
LCM(35982,35997) = ( 35982 × 35997) / 3
LCM(35982,35997) = 1295244054 / 3
LCM(35982,35997) = 431748018

Least Common Multiple (LCM) of 35982 and 35997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35982 and 35997. First we will calculate the prime factors of 35982 and 35997.

Prime Factorization of 35982

Prime Factorization of 35997

Now multiplying the highest exponent prime factors to calculate the LCM of 35982 and 35997.

LCM(35982,35997) = 2¹ × 3² × 1999¹ × 13² × 71¹
LCM(35982,35997) = 431748018