What is the Least Common Multiple of 25198 and 25218?

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 25198 and 25218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25198 and 25218, than apply into the LCM equation.

GCF(25198,25218) = 2
LCM(25198,25218) = ( 25198 × 25218) / 2
LCM(25198,25218) = 635443164 / 2
LCM(25198,25218) = 317721582

Least Common Multiple (LCM) of 25198 and 25218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25198 and 25218. First we will calculate the prime factors of 25198 and 25218.

Prime Factorization of 25198

Prime Factorization of 25218

Now multiplying the highest exponent prime factors to calculate the LCM of 25198 and 25218.

LCM(25198,25218) = 2¹ × 43¹ × 293¹ × 3³ × 467¹
LCM(25198,25218) = 317721582