What is the Least Common Multiple of 47346 and 47361?

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 47346 and 47361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47346 and 47361, than apply into the LCM equation.

GCF(47346,47361) = 3
LCM(47346,47361) = ( 47346 × 47361) / 3
LCM(47346,47361) = 2242353906 / 3
LCM(47346,47361) = 747451302

Least Common Multiple (LCM) of 47346 and 47361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47346 and 47361. First we will calculate the prime factors of 47346 and 47361.

Prime Factorization of 47346

Prime Factorization of 47361

Now multiplying the highest exponent prime factors to calculate the LCM of 47346 and 47361.

LCM(47346,47361) = 2¹ × 3¹ × 13¹ × 607¹ × 15787¹
LCM(47346,47361) = 747451302