What is the Least Common Multiple of 43188 and 43194?

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 43188 and 43194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43188 and 43194, than apply into the LCM equation.

GCF(43188,43194) = 6
LCM(43188,43194) = ( 43188 × 43194) / 6
LCM(43188,43194) = 1865462472 / 6
LCM(43188,43194) = 310910412

Least Common Multiple (LCM) of 43188 and 43194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43188 and 43194. First we will calculate the prime factors of 43188 and 43194.

Prime Factorization of 43188

Prime Factorization of 43194

Now multiplying the highest exponent prime factors to calculate the LCM of 43188 and 43194.

LCM(43188,43194) = 2² × 3¹ × 59¹ × 61¹ × 23¹ × 313¹
LCM(43188,43194) = 310910412