What is the Least Common Multiple of 31589 and 31608?

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 31589 and 31608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31589 and 31608, than apply into the LCM equation.

GCF(31589,31608) = 1
LCM(31589,31608) = ( 31589 × 31608) / 1
LCM(31589,31608) = 998465112 / 1
LCM(31589,31608) = 998465112

Least Common Multiple (LCM) of 31589 and 31608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31589 and 31608. First we will calculate the prime factors of 31589 and 31608.

Prime Factorization of 31589

Prime Factorization of 31608

Now multiplying the highest exponent prime factors to calculate the LCM of 31589 and 31608.

LCM(31589,31608) = 31¹ × 1019¹ × 2³ × 3² × 439¹
LCM(31589,31608) = 998465112