What is the Least Common Multiple of 25170 and 25175?

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 25170 and 25175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25170 and 25175, than apply into the LCM equation.

GCF(25170,25175) = 5
LCM(25170,25175) = ( 25170 × 25175) / 5
LCM(25170,25175) = 633654750 / 5
LCM(25170,25175) = 126730950

Least Common Multiple (LCM) of 25170 and 25175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25170 and 25175. First we will calculate the prime factors of 25170 and 25175.

Prime Factorization of 25170

Prime Factorization of 25175

Now multiplying the highest exponent prime factors to calculate the LCM of 25170 and 25175.

LCM(25170,25175) = 2¹ × 3¹ × 5² × 839¹ × 19¹ × 53¹
LCM(25170,25175) = 126730950