What is the Least Common Multiple of 25902 and 25917?

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 25902 and 25917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25902 and 25917, than apply into the LCM equation.

GCF(25902,25917) = 3
LCM(25902,25917) = ( 25902 × 25917) / 3
LCM(25902,25917) = 671302134 / 3
LCM(25902,25917) = 223767378

Least Common Multiple (LCM) of 25902 and 25917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25902 and 25917. First we will calculate the prime factors of 25902 and 25917.

Prime Factorization of 25902

Prime Factorization of 25917

Now multiplying the highest exponent prime factors to calculate the LCM of 25902 and 25917.

LCM(25902,25917) = 2¹ × 3² × 1439¹ × 53¹ × 163¹
LCM(25902,25917) = 223767378