What is the Least Common Multiple of 83275 and 83284?

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 83275 and 83284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83275 and 83284, than apply into the LCM equation.

GCF(83275,83284) = 1
LCM(83275,83284) = ( 83275 × 83284) / 1
LCM(83275,83284) = 6935475100 / 1
LCM(83275,83284) = 6935475100

Least Common Multiple (LCM) of 83275 and 83284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83275 and 83284. First we will calculate the prime factors of 83275 and 83284.

Prime Factorization of 83275

Prime Factorization of 83284

Now multiplying the highest exponent prime factors to calculate the LCM of 83275 and 83284.

LCM(83275,83284) = 5² × 3331¹ × 2² × 47¹ × 443¹
LCM(83275,83284) = 6935475100