What is the Least Common Multiple of 24342 and 24361?

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 24342 and 24361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24342 and 24361, than apply into the LCM equation.

GCF(24342,24361) = 1
LCM(24342,24361) = ( 24342 × 24361) / 1
LCM(24342,24361) = 592995462 / 1
LCM(24342,24361) = 592995462

Least Common Multiple (LCM) of 24342 and 24361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24342 and 24361. First we will calculate the prime factors of 24342 and 24361.

Prime Factorization of 24342

Prime Factorization of 24361

Now multiplying the highest exponent prime factors to calculate the LCM of 24342 and 24361.

LCM(24342,24361) = 2¹ × 3¹ × 4057¹ × 17¹ × 1433¹
LCM(24342,24361) = 592995462