What is the Least Common Multiple of 31863 and 31876?

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 31863 and 31876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31863 and 31876, than apply into the LCM equation.

GCF(31863,31876) = 13
LCM(31863,31876) = ( 31863 × 31876) / 13
LCM(31863,31876) = 1015664988 / 13
LCM(31863,31876) = 78128076

Least Common Multiple (LCM) of 31863 and 31876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31863 and 31876. First we will calculate the prime factors of 31863 and 31876.

Prime Factorization of 31863

Prime Factorization of 31876

Now multiplying the highest exponent prime factors to calculate the LCM of 31863 and 31876.

LCM(31863,31876) = 3¹ × 13¹ × 19¹ × 43¹ × 2² × 613¹
LCM(31863,31876) = 78128076