What is the Least Common Multiple of 83328 and 83340?

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 83328 and 83340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83328 and 83340, than apply into the LCM equation.

GCF(83328,83340) = 12
LCM(83328,83340) = ( 83328 × 83340) / 12
LCM(83328,83340) = 6944555520 / 12
LCM(83328,83340) = 578712960

Least Common Multiple (LCM) of 83328 and 83340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83328 and 83340. First we will calculate the prime factors of 83328 and 83340.

Prime Factorization of 83328

Prime Factorization of 83340

Now multiplying the highest exponent prime factors to calculate the LCM of 83328 and 83340.

LCM(83328,83340) = 2⁷ × 3² × 7¹ × 31¹ × 5¹ × 463¹
LCM(83328,83340) = 578712960