What is the Least Common Multiple of 31863 and 31867?

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 31867 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 31867, than apply into the LCM equation.

GCF(31863,31867) = 1
LCM(31863,31867) = ( 31863 × 31867) / 1
LCM(31863,31867) = 1015378221 / 1
LCM(31863,31867) = 1015378221

Least Common Multiple (LCM) of 31863 and 31867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31863 and 31867. First we will calculate the prime factors of 31863 and 31867.

Prime Factorization of 31863

Prime Factorization of 31867

Now multiplying the highest exponent prime factors to calculate the LCM of 31863 and 31867.

LCM(31863,31867) = 3¹ × 13¹ × 19¹ × 43¹ × 11¹ × 2897¹
LCM(31863,31867) = 1015378221