What is the Least Common Multiple of 25338 and 25352?

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 25352 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 25352, than apply into the LCM equation.

GCF(25338,25352) = 2
LCM(25338,25352) = ( 25338 × 25352) / 2
LCM(25338,25352) = 642368976 / 2
LCM(25338,25352) = 321184488

Least Common Multiple (LCM) of 25338 and 25352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25338 and 25352. First we will calculate the prime factors of 25338 and 25352.

Prime Factorization of 25338

Prime Factorization of 25352

Now multiplying the highest exponent prime factors to calculate the LCM of 25338 and 25352.

LCM(25338,25352) = 2³ × 3¹ × 41¹ × 103¹ × 3169¹
LCM(25338,25352) = 321184488