What is the Least Common Multiple of 83800 and 83807?

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 83800 and 83807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83800 and 83807, than apply into the LCM equation.

GCF(83800,83807) = 1
LCM(83800,83807) = ( 83800 × 83807) / 1
LCM(83800,83807) = 7023026600 / 1
LCM(83800,83807) = 7023026600

Least Common Multiple (LCM) of 83800 and 83807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83800 and 83807. First we will calculate the prime factors of 83800 and 83807.

Prime Factorization of 83800

Prime Factorization of 83807

Now multiplying the highest exponent prime factors to calculate the LCM of 83800 and 83807.

LCM(83800,83807) = 2³ × 5² × 419¹ × 43¹ × 1949¹
LCM(83800,83807) = 7023026600