What is the Least Common Multiple of 85839 and 85844?

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 85839 and 85844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85839 and 85844, than apply into the LCM equation.

GCF(85839,85844) = 1
LCM(85839,85844) = ( 85839 × 85844) / 1
LCM(85839,85844) = 7368763116 / 1
LCM(85839,85844) = 7368763116

Least Common Multiple (LCM) of 85839 and 85844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85839 and 85844. First we will calculate the prime factors of 85839 and 85844.

Prime Factorization of 85839

Prime Factorization of 85844

Now multiplying the highest exponent prime factors to calculate the LCM of 85839 and 85844.

LCM(85839,85844) = 3¹ × 13¹ × 31¹ × 71¹ × 2² × 11¹ × 1951¹
LCM(85839,85844) = 7368763116