What is the Least Common Multiple of 43338 and 43343?

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 43338 and 43343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43338 and 43343, than apply into the LCM equation.

GCF(43338,43343) = 1
LCM(43338,43343) = ( 43338 × 43343) / 1
LCM(43338,43343) = 1878398934 / 1
LCM(43338,43343) = 1878398934

Least Common Multiple (LCM) of 43338 and 43343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43338 and 43343. First we will calculate the prime factors of 43338 and 43343.

Prime Factorization of 43338

Prime Factorization of 43343

Now multiplying the highest exponent prime factors to calculate the LCM of 43338 and 43343.

LCM(43338,43343) = 2¹ × 3¹ × 31¹ × 233¹ × 89¹ × 487¹
LCM(43338,43343) = 1878398934