What is the Least Common Multiple of 39354 and 39361?

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 39354 and 39361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39354 and 39361, than apply into the LCM equation.

GCF(39354,39361) = 7
LCM(39354,39361) = ( 39354 × 39361) / 7
LCM(39354,39361) = 1549012794 / 7
LCM(39354,39361) = 221287542

Least Common Multiple (LCM) of 39354 and 39361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39354 and 39361. First we will calculate the prime factors of 39354 and 39361.

Prime Factorization of 39354

Prime Factorization of 39361

Now multiplying the highest exponent prime factors to calculate the LCM of 39354 and 39361.

LCM(39354,39361) = 2¹ × 3¹ × 7¹ × 937¹ × 5623¹
LCM(39354,39361) = 221287542