What is the Least Common Multiple of 25194 and 25212?

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 25194 and 25212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25194 and 25212, than apply into the LCM equation.

GCF(25194,25212) = 6
LCM(25194,25212) = ( 25194 × 25212) / 6
LCM(25194,25212) = 635191128 / 6
LCM(25194,25212) = 105865188

Least Common Multiple (LCM) of 25194 and 25212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25194 and 25212. First we will calculate the prime factors of 25194 and 25212.

Prime Factorization of 25194

Prime Factorization of 25212

Now multiplying the highest exponent prime factors to calculate the LCM of 25194 and 25212.

LCM(25194,25212) = 2² × 3¹ × 13¹ × 17¹ × 19¹ × 11¹ × 191¹
LCM(25194,25212) = 105865188