What is the Least Common Multiple of 83598 and 83616?

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 83598 and 83616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83598 and 83616, than apply into the LCM equation.

GCF(83598,83616) = 6
LCM(83598,83616) = ( 83598 × 83616) / 6
LCM(83598,83616) = 6990130368 / 6
LCM(83598,83616) = 1165021728

Least Common Multiple (LCM) of 83598 and 83616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83598 and 83616. First we will calculate the prime factors of 83598 and 83616.

Prime Factorization of 83598

Prime Factorization of 83616

Now multiplying the highest exponent prime factors to calculate the LCM of 83598 and 83616.

LCM(83598,83616) = 2⁵ × 3¹ × 13933¹ × 13¹ × 67¹
LCM(83598,83616) = 1165021728