What is the Least Common Multiple of 25188 and 25206?

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 25188 and 25206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25188 and 25206, than apply into the LCM equation.

GCF(25188,25206) = 6
LCM(25188,25206) = ( 25188 × 25206) / 6
LCM(25188,25206) = 634888728 / 6
LCM(25188,25206) = 105814788

Least Common Multiple (LCM) of 25188 and 25206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25188 and 25206. First we will calculate the prime factors of 25188 and 25206.

Prime Factorization of 25188

Prime Factorization of 25206

Now multiplying the highest exponent prime factors to calculate the LCM of 25188 and 25206.

LCM(25188,25206) = 2² × 3¹ × 2099¹ × 4201¹
LCM(25188,25206) = 105814788