What is the Least Common Multiple of 29260 and 29279?

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 29279 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 29279, than apply into the LCM equation.

GCF(29260,29279) = 19
LCM(29260,29279) = ( 29260 × 29279) / 19
LCM(29260,29279) = 856703540 / 19
LCM(29260,29279) = 45089660

Least Common Multiple (LCM) of 29260 and 29279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29260 and 29279. First we will calculate the prime factors of 29260 and 29279.

Prime Factorization of 29260

Prime Factorization of 29279

Now multiplying the highest exponent prime factors to calculate the LCM of 29260 and 29279.

LCM(29260,29279) = 2² × 5¹ × 7¹ × 11¹ × 19¹ × 23¹ × 67¹
LCM(29260,29279) = 45089660