What is the Least Common Multiple of 83340 and 83348?

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 83340 and 83348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83340 and 83348, than apply into the LCM equation.

GCF(83340,83348) = 4
LCM(83340,83348) = ( 83340 × 83348) / 4
LCM(83340,83348) = 6946222320 / 4
LCM(83340,83348) = 1736555580

Least Common Multiple (LCM) of 83340 and 83348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83340 and 83348. First we will calculate the prime factors of 83340 and 83348.

Prime Factorization of 83340

Prime Factorization of 83348

Now multiplying the highest exponent prime factors to calculate the LCM of 83340 and 83348.

LCM(83340,83348) = 2² × 3² × 5¹ × 463¹ × 67¹ × 311¹
LCM(83340,83348) = 1736555580