What is the Least Common Multiple of 83284 and 83297?

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 83284 and 83297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83284 and 83297, than apply into the LCM equation.

GCF(83284,83297) = 1
LCM(83284,83297) = ( 83284 × 83297) / 1
LCM(83284,83297) = 6937307348 / 1
LCM(83284,83297) = 6937307348

Least Common Multiple (LCM) of 83284 and 83297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83284 and 83297. First we will calculate the prime factors of 83284 and 83297.

Prime Factorization of 83284

Prime Factorization of 83297

Now multiplying the highest exponent prime factors to calculate the LCM of 83284 and 83297.

LCM(83284,83297) = 2² × 47¹ × 443¹ × 31¹ × 2687¹
LCM(83284,83297) = 6937307348