What is the Least Common Multiple of 20474 and 20482?

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 20474 and 20482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20474 and 20482, than apply into the LCM equation.

GCF(20474,20482) = 2
LCM(20474,20482) = ( 20474 × 20482) / 2
LCM(20474,20482) = 419348468 / 2
LCM(20474,20482) = 209674234

Least Common Multiple (LCM) of 20474 and 20482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20474 and 20482. First we will calculate the prime factors of 20474 and 20482.

Prime Factorization of 20474

Prime Factorization of 20482

Now multiplying the highest exponent prime factors to calculate the LCM of 20474 and 20482.

LCM(20474,20482) = 2¹ × 29¹ × 353¹ × 7² × 11¹ × 19¹
LCM(20474,20482) = 209674234