What is the Least Common Multiple of 83808 and 83812?

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 83812 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 83812, than apply into the LCM equation.

GCF(83808,83812) = 4
LCM(83808,83812) = ( 83808 × 83812) / 4
LCM(83808,83812) = 7024116096 / 4
LCM(83808,83812) = 1756029024

Least Common Multiple (LCM) of 83808 and 83812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83808 and 83812. First we will calculate the prime factors of 83808 and 83812.

Prime Factorization of 83808

Prime Factorization of 83812

Now multiplying the highest exponent prime factors to calculate the LCM of 83808 and 83812.

LCM(83808,83812) = 2⁵ × 3³ × 97¹ × 23¹ × 911¹
LCM(83808,83812) = 1756029024