What is the Least Common Multiple of 43311 and 43329?

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 43311 and 43329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43311 and 43329, than apply into the LCM equation.

GCF(43311,43329) = 3
LCM(43311,43329) = ( 43311 × 43329) / 3
LCM(43311,43329) = 1876622319 / 3
LCM(43311,43329) = 625540773

Least Common Multiple (LCM) of 43311 and 43329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43311 and 43329. First we will calculate the prime factors of 43311 and 43329.

Prime Factorization of 43311

Prime Factorization of 43329

Now multiplying the highest exponent prime factors to calculate the LCM of 43311 and 43329.

LCM(43311,43329) = 3¹ × 14437¹ × 11¹ × 13¹ × 101¹
LCM(43311,43329) = 625540773