What is the Least Common Multiple of 43401 and 43412?

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 43412 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 43412, than apply into the LCM equation.

GCF(43401,43412) = 1
LCM(43401,43412) = ( 43401 × 43412) / 1
LCM(43401,43412) = 1884124212 / 1
LCM(43401,43412) = 1884124212

Least Common Multiple (LCM) of 43401 and 43412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43401 and 43412. First we will calculate the prime factors of 43401 and 43412.

Prime Factorization of 43401

Prime Factorization of 43412

Now multiplying the highest exponent prime factors to calculate the LCM of 43401 and 43412.

LCM(43401,43412) = 3¹ × 17¹ × 23¹ × 37¹ × 2² × 10853¹
LCM(43401,43412) = 1884124212