What is the Least Common Multiple of 28345 and 28361?

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 28345 and 28361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28345 and 28361, than apply into the LCM equation.

GCF(28345,28361) = 1
LCM(28345,28361) = ( 28345 × 28361) / 1
LCM(28345,28361) = 803892545 / 1
LCM(28345,28361) = 803892545

Least Common Multiple (LCM) of 28345 and 28361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28345 and 28361. First we will calculate the prime factors of 28345 and 28361.

Prime Factorization of 28345

Prime Factorization of 28361

Now multiplying the highest exponent prime factors to calculate the LCM of 28345 and 28361.

LCM(28345,28361) = 5¹ × 5669¹ × 79¹ × 359¹
LCM(28345,28361) = 803892545