What is the Least Common Multiple of 31981 and 32000?

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 31981 and 32000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31981 and 32000, than apply into the LCM equation.

GCF(31981,32000) = 1
LCM(31981,32000) = ( 31981 × 32000) / 1
LCM(31981,32000) = 1023392000 / 1
LCM(31981,32000) = 1023392000

Least Common Multiple (LCM) of 31981 and 32000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31981 and 32000. First we will calculate the prime factors of 31981 and 32000.

Prime Factorization of 31981

Prime Factorization of 32000

Now multiplying the highest exponent prime factors to calculate the LCM of 31981 and 32000.

LCM(31981,32000) = 31981¹ × 2⁸ × 5³
LCM(31981,32000) = 1023392000