What is the Least Common Multiple of 83089 and 83100?

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 83089 and 83100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83089 and 83100, than apply into the LCM equation.

GCF(83089,83100) = 1
LCM(83089,83100) = ( 83089 × 83100) / 1
LCM(83089,83100) = 6904695900 / 1
LCM(83089,83100) = 6904695900

Least Common Multiple (LCM) of 83089 and 83100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83089 and 83100. First we will calculate the prime factors of 83089 and 83100.

Prime Factorization of 83089

Prime Factorization of 83100

Now multiplying the highest exponent prime factors to calculate the LCM of 83089 and 83100.

LCM(83089,83100) = 83089¹ × 2² × 3¹ × 5² × 277¹
LCM(83089,83100) = 6904695900