What is the Least Common Multiple of 25342 and 25361?

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 25342 and 25361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25342 and 25361, than apply into the LCM equation.

GCF(25342,25361) = 1
LCM(25342,25361) = ( 25342 × 25361) / 1
LCM(25342,25361) = 642698462 / 1
LCM(25342,25361) = 642698462

Least Common Multiple (LCM) of 25342 and 25361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25342 and 25361. First we will calculate the prime factors of 25342 and 25361.

Prime Factorization of 25342

Prime Factorization of 25361

Now multiplying the highest exponent prime factors to calculate the LCM of 25342 and 25361.

LCM(25342,25361) = 2¹ × 12671¹ × 7¹ × 3623¹
LCM(25342,25361) = 642698462