What is the Least Common Multiple of 83808 and 83817?

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 83808 and 83817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83808 and 83817, than apply into the LCM equation.

GCF(83808,83817) = 9
LCM(83808,83817) = ( 83808 × 83817) / 9
LCM(83808,83817) = 7024535136 / 9
LCM(83808,83817) = 780503904

Least Common Multiple (LCM) of 83808 and 83817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83808 and 83817. First we will calculate the prime factors of 83808 and 83817.

Prime Factorization of 83808

Prime Factorization of 83817

Now multiplying the highest exponent prime factors to calculate the LCM of 83808 and 83817.

LCM(83808,83817) = 2⁵ × 3³ × 97¹ × 67¹ × 139¹
LCM(83808,83817) = 780503904