What is the Least Common Multiple of 29168 and 29174?

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 29168 and 29174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29168 and 29174, than apply into the LCM equation.

GCF(29168,29174) = 2
LCM(29168,29174) = ( 29168 × 29174) / 2
LCM(29168,29174) = 850947232 / 2
LCM(29168,29174) = 425473616

Least Common Multiple (LCM) of 29168 and 29174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29168 and 29174. First we will calculate the prime factors of 29168 and 29174.

Prime Factorization of 29168

Prime Factorization of 29174

Now multiplying the highest exponent prime factors to calculate the LCM of 29168 and 29174.

LCM(29168,29174) = 2⁴ × 1823¹ × 29¹ × 503¹
LCM(29168,29174) = 425473616