What is the Least Common Multiple of 25338 and 25358?

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 25338 and 25358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25338 and 25358, than apply into the LCM equation.

GCF(25338,25358) = 2
LCM(25338,25358) = ( 25338 × 25358) / 2
LCM(25338,25358) = 642521004 / 2
LCM(25338,25358) = 321260502

Least Common Multiple (LCM) of 25338 and 25358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25338 and 25358. First we will calculate the prime factors of 25338 and 25358.

Prime Factorization of 25338

Prime Factorization of 25358

Now multiplying the highest exponent prime factors to calculate the LCM of 25338 and 25358.

LCM(25338,25358) = 2¹ × 3¹ × 41¹ × 103¹ × 31¹ × 409¹
LCM(25338,25358) = 321260502