What is the Least Common Multiple of 25805 and 25823?

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 25805 and 25823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25805 and 25823, than apply into the LCM equation.

GCF(25805,25823) = 1
LCM(25805,25823) = ( 25805 × 25823) / 1
LCM(25805,25823) = 666362515 / 1
LCM(25805,25823) = 666362515

Least Common Multiple (LCM) of 25805 and 25823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25805 and 25823. First we will calculate the prime factors of 25805 and 25823.

Prime Factorization of 25805

Prime Factorization of 25823

Now multiplying the highest exponent prime factors to calculate the LCM of 25805 and 25823.

LCM(25805,25823) = 5¹ × 13¹ × 397¹ × 7² × 17¹ × 31¹
LCM(25805,25823) = 666362515