What is the Least Common Multiple of 83784 and 83798?

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 83784 and 83798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83784 and 83798, than apply into the LCM equation.

GCF(83784,83798) = 2
LCM(83784,83798) = ( 83784 × 83798) / 2
LCM(83784,83798) = 7020931632 / 2
LCM(83784,83798) = 3510465816

Least Common Multiple (LCM) of 83784 and 83798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83784 and 83798. First we will calculate the prime factors of 83784 and 83798.

Prime Factorization of 83784

Prime Factorization of 83798

Now multiplying the highest exponent prime factors to calculate the LCM of 83784 and 83798.

LCM(83784,83798) = 2³ × 3¹ × 3491¹ × 11¹ × 13¹ × 293¹
LCM(83784,83798) = 3510465816