What is the Least Common Multiple of 43332 and 43338?

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 43332 and 43338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43332 and 43338, than apply into the LCM equation.

GCF(43332,43338) = 6
LCM(43332,43338) = ( 43332 × 43338) / 6
LCM(43332,43338) = 1877922216 / 6
LCM(43332,43338) = 312987036

Least Common Multiple (LCM) of 43332 and 43338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43332 and 43338. First we will calculate the prime factors of 43332 and 43338.

Prime Factorization of 43332

Prime Factorization of 43338

Now multiplying the highest exponent prime factors to calculate the LCM of 43332 and 43338.

LCM(43332,43338) = 2² × 3¹ × 23¹ × 157¹ × 31¹ × 233¹
LCM(43332,43338) = 312987036