What is the Least Common Multiple of 25905 and 25913?

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 25905 and 25913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25905 and 25913, than apply into the LCM equation.

GCF(25905,25913) = 1
LCM(25905,25913) = ( 25905 × 25913) / 1
LCM(25905,25913) = 671276265 / 1
LCM(25905,25913) = 671276265

Least Common Multiple (LCM) of 25905 and 25913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25905 and 25913. First we will calculate the prime factors of 25905 and 25913.

Prime Factorization of 25905

Prime Factorization of 25913

Now multiplying the highest exponent prime factors to calculate the LCM of 25905 and 25913.

LCM(25905,25913) = 3¹ × 5¹ × 11¹ × 157¹ × 25913¹
LCM(25905,25913) = 671276265