What is the Least Common Multiple of 29160 and 29168?

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 29160 and 29168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29160 and 29168, than apply into the LCM equation.

GCF(29160,29168) = 8
LCM(29160,29168) = ( 29160 × 29168) / 8
LCM(29160,29168) = 850538880 / 8
LCM(29160,29168) = 106317360

Least Common Multiple (LCM) of 29160 and 29168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29160 and 29168. First we will calculate the prime factors of 29160 and 29168.

Prime Factorization of 29160

Prime Factorization of 29168

Now multiplying the highest exponent prime factors to calculate the LCM of 29160 and 29168.

LCM(29160,29168) = 2⁴ × 3⁶ × 5¹ × 1823¹
LCM(29160,29168) = 106317360