What is the Least Common Multiple of 29184 and 29196?

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 29184 and 29196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29184 and 29196, than apply into the LCM equation.

GCF(29184,29196) = 12
LCM(29184,29196) = ( 29184 × 29196) / 12
LCM(29184,29196) = 852056064 / 12
LCM(29184,29196) = 71004672

Least Common Multiple (LCM) of 29184 and 29196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29184 and 29196. First we will calculate the prime factors of 29184 and 29196.

Prime Factorization of 29184

Prime Factorization of 29196

Now multiplying the highest exponent prime factors to calculate the LCM of 29184 and 29196.

LCM(29184,29196) = 2⁹ × 3² × 19¹ × 811¹
LCM(29184,29196) = 71004672