What is the Least Common Multiple of 62346 and 62361?

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 62346 and 62361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62346 and 62361, than apply into the LCM equation.

GCF(62346,62361) = 3
LCM(62346,62361) = ( 62346 × 62361) / 3
LCM(62346,62361) = 3887958906 / 3
LCM(62346,62361) = 1295986302

Least Common Multiple (LCM) of 62346 and 62361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62346 and 62361. First we will calculate the prime factors of 62346 and 62361.

Prime Factorization of 62346

Prime Factorization of 62361

Now multiplying the highest exponent prime factors to calculate the LCM of 62346 and 62361.

LCM(62346,62361) = 2¹ × 3² × 10391¹ × 13² × 41¹
LCM(62346,62361) = 1295986302