What is the Least Common Multiple of 31848 and 31864?

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 31848 and 31864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31848 and 31864, than apply into the LCM equation.

GCF(31848,31864) = 8
LCM(31848,31864) = ( 31848 × 31864) / 8
LCM(31848,31864) = 1014804672 / 8
LCM(31848,31864) = 126850584

Least Common Multiple (LCM) of 31848 and 31864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31848 and 31864. First we will calculate the prime factors of 31848 and 31864.

Prime Factorization of 31848

Prime Factorization of 31864

Now multiplying the highest exponent prime factors to calculate the LCM of 31848 and 31864.

LCM(31848,31864) = 2³ × 3¹ × 1327¹ × 7¹ × 569¹
LCM(31848,31864) = 126850584