What is the Least Common Multiple of 25839 and 25848?

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 25839 and 25848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25839 and 25848, than apply into the LCM equation.

GCF(25839,25848) = 9
LCM(25839,25848) = ( 25839 × 25848) / 9
LCM(25839,25848) = 667886472 / 9
LCM(25839,25848) = 74209608

Least Common Multiple (LCM) of 25839 and 25848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25839 and 25848. First we will calculate the prime factors of 25839 and 25848.

Prime Factorization of 25839

Prime Factorization of 25848

Now multiplying the highest exponent prime factors to calculate the LCM of 25839 and 25848.

LCM(25839,25848) = 3⁴ × 11¹ × 29¹ × 2³ × 359¹
LCM(25839,25848) = 74209608