What is the Least Common Multiple of 83782 and 83788?

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 83782 and 83788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83782 and 83788, than apply into the LCM equation.

GCF(83782,83788) = 2
LCM(83782,83788) = ( 83782 × 83788) / 2
LCM(83782,83788) = 7019926216 / 2
LCM(83782,83788) = 3509963108

Least Common Multiple (LCM) of 83782 and 83788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83782 and 83788. First we will calculate the prime factors of 83782 and 83788.

Prime Factorization of 83782

Prime Factorization of 83788

Now multiplying the highest exponent prime factors to calculate the LCM of 83782 and 83788.

LCM(83782,83788) = 2² × 163¹ × 257¹ × 20947¹
LCM(83782,83788) = 3509963108