What is the Least Common Multiple of 43389 and 43401?

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 43389 and 43401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43389 and 43401, than apply into the LCM equation.

GCF(43389,43401) = 3
LCM(43389,43401) = ( 43389 × 43401) / 3
LCM(43389,43401) = 1883125989 / 3
LCM(43389,43401) = 627708663

Least Common Multiple (LCM) of 43389 and 43401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43389 and 43401. First we will calculate the prime factors of 43389 and 43401.

Prime Factorization of 43389

Prime Factorization of 43401

Now multiplying the highest exponent prime factors to calculate the LCM of 43389 and 43401.

LCM(43389,43401) = 3³ × 1607¹ × 17¹ × 23¹ × 37¹
LCM(43389,43401) = 627708663