What is the Least Common Multiple of 29199 and 29205?

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 29199 and 29205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29199 and 29205, than apply into the LCM equation.

GCF(29199,29205) = 3
LCM(29199,29205) = ( 29199 × 29205) / 3
LCM(29199,29205) = 852756795 / 3
LCM(29199,29205) = 284252265

Least Common Multiple (LCM) of 29199 and 29205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29199 and 29205. First we will calculate the prime factors of 29199 and 29205.

Prime Factorization of 29199

Prime Factorization of 29205

Now multiplying the highest exponent prime factors to calculate the LCM of 29199 and 29205.

LCM(29199,29205) = 3² × 9733¹ × 5¹ × 11¹ × 59¹
LCM(29199,29205) = 284252265