What is the Least Common Multiple of 25917 and 25923?

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 25917 and 25923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25917 and 25923, than apply into the LCM equation.

GCF(25917,25923) = 3
LCM(25917,25923) = ( 25917 × 25923) / 3
LCM(25917,25923) = 671846391 / 3
LCM(25917,25923) = 223948797

Least Common Multiple (LCM) of 25917 and 25923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25917 and 25923. First we will calculate the prime factors of 25917 and 25923.

Prime Factorization of 25917

Prime Factorization of 25923

Now multiplying the highest exponent prime factors to calculate the LCM of 25917 and 25923.

LCM(25917,25923) = 3¹ × 53¹ × 163¹ × 8641¹
LCM(25917,25923) = 223948797