What is the Least Common Multiple of 25323 and 25341?

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 25323 and 25341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25323 and 25341, than apply into the LCM equation.

GCF(25323,25341) = 3
LCM(25323,25341) = ( 25323 × 25341) / 3
LCM(25323,25341) = 641710143 / 3
LCM(25323,25341) = 213903381

Least Common Multiple (LCM) of 25323 and 25341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25323 and 25341. First we will calculate the prime factors of 25323 and 25341.

Prime Factorization of 25323

Prime Factorization of 25341

Now multiplying the highest exponent prime factors to calculate the LCM of 25323 and 25341.

LCM(25323,25341) = 3¹ × 23¹ × 367¹ × 8447¹
LCM(25323,25341) = 213903381