What is the Least Common Multiple of 25853 and 25873?

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 25853 and 25873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25853 and 25873, than apply into the LCM equation.

GCF(25853,25873) = 1
LCM(25853,25873) = ( 25853 × 25873) / 1
LCM(25853,25873) = 668894669 / 1
LCM(25853,25873) = 668894669

Least Common Multiple (LCM) of 25853 and 25873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25853 and 25873. First we will calculate the prime factors of 25853 and 25873.

Prime Factorization of 25853

Prime Factorization of 25873

Now multiplying the highest exponent prime factors to calculate the LCM of 25853 and 25873.

LCM(25853,25873) = 103¹ × 251¹ × 25873¹
LCM(25853,25873) = 668894669