What is the Least Common Multiple of 83828 and 83832?

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 83828 and 83832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83828 and 83832, than apply into the LCM equation.

GCF(83828,83832) = 4
LCM(83828,83832) = ( 83828 × 83832) / 4
LCM(83828,83832) = 7027468896 / 4
LCM(83828,83832) = 1756867224

Least Common Multiple (LCM) of 83828 and 83832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83828 and 83832. First we will calculate the prime factors of 83828 and 83832.

Prime Factorization of 83828

Prime Factorization of 83832

Now multiplying the highest exponent prime factors to calculate the LCM of 83828 and 83832.

LCM(83828,83832) = 2³ × 19¹ × 1103¹ × 3¹ × 7¹ × 499¹
LCM(83828,83832) = 1756867224