What is the Least Common Multiple of 25170 and 25182?

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 25182 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 25182, than apply into the LCM equation.

GCF(25170,25182) = 6
LCM(25170,25182) = ( 25170 × 25182) / 6
LCM(25170,25182) = 633830940 / 6
LCM(25170,25182) = 105638490

Least Common Multiple (LCM) of 25170 and 25182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25170 and 25182. First we will calculate the prime factors of 25170 and 25182.

Prime Factorization of 25170

Prime Factorization of 25182

Now multiplying the highest exponent prime factors to calculate the LCM of 25170 and 25182.

LCM(25170,25182) = 2¹ × 3² × 5¹ × 839¹ × 1399¹
LCM(25170,25182) = 105638490