What is the Least Common Multiple of 35346 and 35361?

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 35346 and 35361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35346 and 35361, than apply into the LCM equation.

GCF(35346,35361) = 3
LCM(35346,35361) = ( 35346 × 35361) / 3
LCM(35346,35361) = 1249869906 / 3
LCM(35346,35361) = 416623302

Least Common Multiple (LCM) of 35346 and 35361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35346 and 35361. First we will calculate the prime factors of 35346 and 35361.

Prime Factorization of 35346

Prime Factorization of 35361

Now multiplying the highest exponent prime factors to calculate the LCM of 35346 and 35361.

LCM(35346,35361) = 2¹ × 3² × 43¹ × 137¹ × 3929¹
LCM(35346,35361) = 416623302