What is the Least Common Multiple of 34848 and 34861?

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 34848 and 34861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34848 and 34861, than apply into the LCM equation.

GCF(34848,34861) = 1
LCM(34848,34861) = ( 34848 × 34861) / 1
LCM(34848,34861) = 1214836128 / 1
LCM(34848,34861) = 1214836128

Least Common Multiple (LCM) of 34848 and 34861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34848 and 34861. First we will calculate the prime factors of 34848 and 34861.

Prime Factorization of 34848

Prime Factorization of 34861

Now multiplying the highest exponent prime factors to calculate the LCM of 34848 and 34861.

LCM(34848,34861) = 2⁵ × 3² × 11² × 71¹ × 491¹
LCM(34848,34861) = 1214836128