What is the Least Common Multiple of 83328 and 83343?

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 83343 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 83343, than apply into the LCM equation.

GCF(83328,83343) = 3
LCM(83328,83343) = ( 83328 × 83343) / 3
LCM(83328,83343) = 6944805504 / 3
LCM(83328,83343) = 2314935168

Least Common Multiple (LCM) of 83328 and 83343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83328 and 83343. First we will calculate the prime factors of 83328 and 83343.

Prime Factorization of 83328

Prime Factorization of 83343

Now multiplying the highest exponent prime factors to calculate the LCM of 83328 and 83343.

LCM(83328,83343) = 2⁷ × 3¹ × 7¹ × 31¹ × 13¹ × 2137¹
LCM(83328,83343) = 2314935168