What is the Least Common Multiple of 25941 and 25959?

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 25941 and 25959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25941 and 25959, than apply into the LCM equation.

GCF(25941,25959) = 3
LCM(25941,25959) = ( 25941 × 25959) / 3
LCM(25941,25959) = 673402419 / 3
LCM(25941,25959) = 224467473

Least Common Multiple (LCM) of 25941 and 25959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25941 and 25959. First we will calculate the prime factors of 25941 and 25959.

Prime Factorization of 25941

Prime Factorization of 25959

Now multiplying the highest exponent prime factors to calculate the LCM of 25941 and 25959.

LCM(25941,25959) = 3¹ × 8647¹ × 17¹ × 509¹
LCM(25941,25959) = 224467473