What is the Least Common Multiple of 25875 and 25893?

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 25875 and 25893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25875 and 25893, than apply into the LCM equation.

GCF(25875,25893) = 9
LCM(25875,25893) = ( 25875 × 25893) / 9
LCM(25875,25893) = 669981375 / 9
LCM(25875,25893) = 74442375

Least Common Multiple (LCM) of 25875 and 25893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25875 and 25893. First we will calculate the prime factors of 25875 and 25893.

Prime Factorization of 25875

Prime Factorization of 25893

Now multiplying the highest exponent prime factors to calculate the LCM of 25875 and 25893.

LCM(25875,25893) = 3³ × 5³ × 23¹ × 7¹ × 137¹
LCM(25875,25893) = 74442375