What is the Least Common Multiple of 43194 and 43209?

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 43194 and 43209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43194 and 43209, than apply into the LCM equation.

GCF(43194,43209) = 3
LCM(43194,43209) = ( 43194 × 43209) / 3
LCM(43194,43209) = 1866369546 / 3
LCM(43194,43209) = 622123182

Least Common Multiple (LCM) of 43194 and 43209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43194 and 43209. First we will calculate the prime factors of 43194 and 43209.

Prime Factorization of 43194

Prime Factorization of 43209

Now multiplying the highest exponent prime factors to calculate the LCM of 43194 and 43209.

LCM(43194,43209) = 2¹ × 3² × 23¹ × 313¹ × 4801¹
LCM(43194,43209) = 622123182