What is the Least Common Multiple of 31582 and 31592?

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 31582 and 31592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31582 and 31592, than apply into the LCM equation.

GCF(31582,31592) = 2
LCM(31582,31592) = ( 31582 × 31592) / 2
LCM(31582,31592) = 997738544 / 2
LCM(31582,31592) = 498869272

Least Common Multiple (LCM) of 31582 and 31592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31582 and 31592. First we will calculate the prime factors of 31582 and 31592.

Prime Factorization of 31582

Prime Factorization of 31592

Now multiplying the highest exponent prime factors to calculate the LCM of 31582 and 31592.

LCM(31582,31592) = 2³ × 15791¹ × 11¹ × 359¹
LCM(31582,31592) = 498869272