What is the Least Common Multiple of 43851 and 43859?

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 43851 and 43859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43851 and 43859, than apply into the LCM equation.

GCF(43851,43859) = 1
LCM(43851,43859) = ( 43851 × 43859) / 1
LCM(43851,43859) = 1923261009 / 1
LCM(43851,43859) = 1923261009

Least Common Multiple (LCM) of 43851 and 43859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43851 and 43859. First we will calculate the prime factors of 43851 and 43859.

Prime Factorization of 43851

Prime Factorization of 43859

Now multiplying the highest exponent prime factors to calculate the LCM of 43851 and 43859.

LCM(43851,43859) = 3¹ × 47¹ × 311¹ × 61¹ × 719¹
LCM(43851,43859) = 1923261009