What is the Least Common Multiple of 29260 and 29266?

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 29260 and 29266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29260 and 29266, than apply into the LCM equation.

GCF(29260,29266) = 2
LCM(29260,29266) = ( 29260 × 29266) / 2
LCM(29260,29266) = 856323160 / 2
LCM(29260,29266) = 428161580

Least Common Multiple (LCM) of 29260 and 29266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29260 and 29266. First we will calculate the prime factors of 29260 and 29266.

Prime Factorization of 29260

Prime Factorization of 29266

Now multiplying the highest exponent prime factors to calculate the LCM of 29260 and 29266.

LCM(29260,29266) = 2² × 5¹ × 7¹ × 11¹ × 19¹ × 14633¹
LCM(29260,29266) = 428161580