What is the Least Common Multiple of 25175 and 25194?

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 25175 and 25194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25175 and 25194, than apply into the LCM equation.

GCF(25175,25194) = 19
LCM(25175,25194) = ( 25175 × 25194) / 19
LCM(25175,25194) = 634258950 / 19
LCM(25175,25194) = 33382050

Least Common Multiple (LCM) of 25175 and 25194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25175 and 25194. First we will calculate the prime factors of 25175 and 25194.

Prime Factorization of 25175

Prime Factorization of 25194

Now multiplying the highest exponent prime factors to calculate the LCM of 25175 and 25194.

LCM(25175,25194) = 5² × 19¹ × 53¹ × 2¹ × 3¹ × 13¹ × 17¹
LCM(25175,25194) = 33382050