What is the Least Common Multiple of 29164 and 29184?

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 29164 and 29184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29164 and 29184, than apply into the LCM equation.

GCF(29164,29184) = 4
LCM(29164,29184) = ( 29164 × 29184) / 4
LCM(29164,29184) = 851122176 / 4
LCM(29164,29184) = 212780544

Least Common Multiple (LCM) of 29164 and 29184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29164 and 29184. First we will calculate the prime factors of 29164 and 29184.

Prime Factorization of 29164

Prime Factorization of 29184

Now multiplying the highest exponent prime factors to calculate the LCM of 29164 and 29184.

LCM(29164,29184) = 2⁹ × 23¹ × 317¹ × 3¹ × 19¹
LCM(29164,29184) = 212780544