What is the Least Common Multiple of 25965 and 25975?

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 25965 and 25975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25965 and 25975, than apply into the LCM equation.

GCF(25965,25975) = 5
LCM(25965,25975) = ( 25965 × 25975) / 5
LCM(25965,25975) = 674440875 / 5
LCM(25965,25975) = 134888175

Least Common Multiple (LCM) of 25965 and 25975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25965 and 25975. First we will calculate the prime factors of 25965 and 25975.

Prime Factorization of 25965

Prime Factorization of 25975

Now multiplying the highest exponent prime factors to calculate the LCM of 25965 and 25975.

LCM(25965,25975) = 3² × 5² × 577¹ × 1039¹
LCM(25965,25975) = 134888175