What is the Least Common Multiple of 31986 and 32001?

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 31986 and 32001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31986 and 32001, than apply into the LCM equation.

GCF(31986,32001) = 3
LCM(31986,32001) = ( 31986 × 32001) / 3
LCM(31986,32001) = 1023583986 / 3
LCM(31986,32001) = 341194662

Least Common Multiple (LCM) of 31986 and 32001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31986 and 32001. First we will calculate the prime factors of 31986 and 32001.

Prime Factorization of 31986

Prime Factorization of 32001

Now multiplying the highest exponent prime factors to calculate the LCM of 31986 and 32001.

LCM(31986,32001) = 2¹ × 3² × 1777¹ × 10667¹
LCM(31986,32001) = 341194662