What is the Least Common Multiple of 25174 and 25184?

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 25174 and 25184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25174 and 25184, than apply into the LCM equation.

GCF(25174,25184) = 2
LCM(25174,25184) = ( 25174 × 25184) / 2
LCM(25174,25184) = 633982016 / 2
LCM(25174,25184) = 316991008

Least Common Multiple (LCM) of 25174 and 25184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25174 and 25184. First we will calculate the prime factors of 25174 and 25184.

Prime Factorization of 25174

Prime Factorization of 25184

Now multiplying the highest exponent prime factors to calculate the LCM of 25174 and 25184.

LCM(25174,25184) = 2⁵ × 41¹ × 307¹ × 787¹
LCM(25174,25184) = 316991008