What is the Least Common Multiple of 25809 and 25827?

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 25809 and 25827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25809 and 25827, than apply into the LCM equation.

GCF(25809,25827) = 3
LCM(25809,25827) = ( 25809 × 25827) / 3
LCM(25809,25827) = 666569043 / 3
LCM(25809,25827) = 222189681

Least Common Multiple (LCM) of 25809 and 25827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25809 and 25827. First we will calculate the prime factors of 25809 and 25827.

Prime Factorization of 25809

Prime Factorization of 25827

Now multiplying the highest exponent prime factors to calculate the LCM of 25809 and 25827.

LCM(25809,25827) = 3¹ × 7¹ × 1229¹ × 8609¹
LCM(25809,25827) = 222189681