What is the Least Common Multiple of 83808 and 83814?

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 83814 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 83814, than apply into the LCM equation.

GCF(83808,83814) = 6
LCM(83808,83814) = ( 83808 × 83814) / 6
LCM(83808,83814) = 7024283712 / 6
LCM(83808,83814) = 1170713952

Least Common Multiple (LCM) of 83808 and 83814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83808 and 83814. First we will calculate the prime factors of 83808 and 83814.

Prime Factorization of 83808

Prime Factorization of 83814

Now multiplying the highest exponent prime factors to calculate the LCM of 83808 and 83814.

LCM(83808,83814) = 2⁵ × 3³ × 97¹ × 61¹ × 229¹
LCM(83808,83814) = 1170713952