What is the Least Common Multiple of 43164 and 43184?

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 43164 and 43184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43164 and 43184, than apply into the LCM equation.

GCF(43164,43184) = 4
LCM(43164,43184) = ( 43164 × 43184) / 4
LCM(43164,43184) = 1863994176 / 4
LCM(43164,43184) = 465998544

Least Common Multiple (LCM) of 43164 and 43184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43164 and 43184. First we will calculate the prime factors of 43164 and 43184.

Prime Factorization of 43164

Prime Factorization of 43184

Now multiplying the highest exponent prime factors to calculate the LCM of 43164 and 43184.

LCM(43164,43184) = 2⁴ × 3² × 11¹ × 109¹ × 2699¹
LCM(43164,43184) = 465998544