What is the Least Common Multiple of 25164 and 25174?

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 25164 and 25174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25164 and 25174, than apply into the LCM equation.

GCF(25164,25174) = 2
LCM(25164,25174) = ( 25164 × 25174) / 2
LCM(25164,25174) = 633478536 / 2
LCM(25164,25174) = 316739268

Least Common Multiple (LCM) of 25164 and 25174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25164 and 25174. First we will calculate the prime factors of 25164 and 25174.

Prime Factorization of 25164

Prime Factorization of 25174

Now multiplying the highest exponent prime factors to calculate the LCM of 25164 and 25174.

LCM(25164,25174) = 2² × 3³ × 233¹ × 41¹ × 307¹
LCM(25164,25174) = 316739268