What is the Least Common Multiple of 83853 and 83858?

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 83853 and 83858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83853 and 83858, than apply into the LCM equation.

GCF(83853,83858) = 1
LCM(83853,83858) = ( 83853 × 83858) / 1
LCM(83853,83858) = 7031744874 / 1
LCM(83853,83858) = 7031744874

Least Common Multiple (LCM) of 83853 and 83858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83853 and 83858. First we will calculate the prime factors of 83853 and 83858.

Prime Factorization of 83853

Prime Factorization of 83858

Now multiplying the highest exponent prime factors to calculate the LCM of 83853 and 83858.

LCM(83853,83858) = 3² × 7¹ × 11³ × 2¹ × 23¹ × 1823¹
LCM(83853,83858) = 7031744874