What is the Least Common Multiple of 25945 and 25960?

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 25945 and 25960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25945 and 25960, than apply into the LCM equation.

GCF(25945,25960) = 5
LCM(25945,25960) = ( 25945 × 25960) / 5
LCM(25945,25960) = 673532200 / 5
LCM(25945,25960) = 134706440

Least Common Multiple (LCM) of 25945 and 25960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25945 and 25960. First we will calculate the prime factors of 25945 and 25960.

Prime Factorization of 25945

Prime Factorization of 25960

Now multiplying the highest exponent prime factors to calculate the LCM of 25945 and 25960.

LCM(25945,25960) = 5¹ × 5189¹ × 2³ × 11¹ × 59¹
LCM(25945,25960) = 134706440