What is the Least Common Multiple of 43401 and 43413?

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 43401 and 43413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43401 and 43413, than apply into the LCM equation.

GCF(43401,43413) = 3
LCM(43401,43413) = ( 43401 × 43413) / 3
LCM(43401,43413) = 1884167613 / 3
LCM(43401,43413) = 628055871

Least Common Multiple (LCM) of 43401 and 43413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43401 and 43413. First we will calculate the prime factors of 43401 and 43413.

Prime Factorization of 43401

Prime Factorization of 43413

Now multiplying the highest exponent prime factors to calculate the LCM of 43401 and 43413.

LCM(43401,43413) = 3¹ × 17¹ × 23¹ × 37¹ × 29¹ × 499¹
LCM(43401,43413) = 628055871