What is the Least Common Multiple of 25164 and 25178?

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 25178 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 25178, than apply into the LCM equation.

GCF(25164,25178) = 2
LCM(25164,25178) = ( 25164 × 25178) / 2
LCM(25164,25178) = 633579192 / 2
LCM(25164,25178) = 316789596

Least Common Multiple (LCM) of 25164 and 25178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25164 and 25178. First we will calculate the prime factors of 25164 and 25178.

Prime Factorization of 25164

Prime Factorization of 25178

Now multiplying the highest exponent prime factors to calculate the LCM of 25164 and 25178.

LCM(25164,25178) = 2² × 3³ × 233¹ × 12589¹
LCM(25164,25178) = 316789596