What is the Least Common Multiple of 24474 and 24482?

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 24474 and 24482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24474 and 24482, than apply into the LCM equation.

GCF(24474,24482) = 2
LCM(24474,24482) = ( 24474 × 24482) / 2
LCM(24474,24482) = 599172468 / 2
LCM(24474,24482) = 299586234

Least Common Multiple (LCM) of 24474 and 24482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24474 and 24482. First we will calculate the prime factors of 24474 and 24482.

Prime Factorization of 24474

Prime Factorization of 24482

Now multiplying the highest exponent prime factors to calculate the LCM of 24474 and 24482.

LCM(24474,24482) = 2¹ × 3¹ × 4079¹ × 12241¹
LCM(24474,24482) = 299586234