What is the Least Common Multiple of 24198 and 24205?

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 24198 and 24205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24198 and 24205, than apply into the LCM equation.

GCF(24198,24205) = 1
LCM(24198,24205) = ( 24198 × 24205) / 1
LCM(24198,24205) = 585712590 / 1
LCM(24198,24205) = 585712590

Least Common Multiple (LCM) of 24198 and 24205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24198 and 24205. First we will calculate the prime factors of 24198 and 24205.

Prime Factorization of 24198

Prime Factorization of 24205

Now multiplying the highest exponent prime factors to calculate the LCM of 24198 and 24205.

LCM(24198,24205) = 2¹ × 3¹ × 37¹ × 109¹ × 5¹ × 47¹ × 103¹
LCM(24198,24205) = 585712590