What is the Least Common Multiple of 83798 and 83816?

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 83798 and 83816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83798 and 83816, than apply into the LCM equation.

GCF(83798,83816) = 2
LCM(83798,83816) = ( 83798 × 83816) / 2
LCM(83798,83816) = 7023613168 / 2
LCM(83798,83816) = 3511806584

Least Common Multiple (LCM) of 83798 and 83816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83798 and 83816. First we will calculate the prime factors of 83798 and 83816.

Prime Factorization of 83798

Prime Factorization of 83816

Now multiplying the highest exponent prime factors to calculate the LCM of 83798 and 83816.

LCM(83798,83816) = 2³ × 11¹ × 13¹ × 293¹ × 10477¹
LCM(83798,83816) = 3511806584