What is the Least Common Multiple of 31889 and 31896?

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 31889 and 31896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31889 and 31896, than apply into the LCM equation.

GCF(31889,31896) = 1
LCM(31889,31896) = ( 31889 × 31896) / 1
LCM(31889,31896) = 1017131544 / 1
LCM(31889,31896) = 1017131544

Least Common Multiple (LCM) of 31889 and 31896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31889 and 31896. First we will calculate the prime factors of 31889 and 31896.

Prime Factorization of 31889

Prime Factorization of 31896

Now multiplying the highest exponent prime factors to calculate the LCM of 31889 and 31896.

LCM(31889,31896) = 11¹ × 13¹ × 223¹ × 2³ × 3² × 443¹
LCM(31889,31896) = 1017131544