What is the Least Common Multiple of 21474 and 21482?

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 21474 and 21482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21474 and 21482, than apply into the LCM equation.

GCF(21474,21482) = 2
LCM(21474,21482) = ( 21474 × 21482) / 2
LCM(21474,21482) = 461304468 / 2
LCM(21474,21482) = 230652234

Least Common Multiple (LCM) of 21474 and 21482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21474 and 21482. First we will calculate the prime factors of 21474 and 21482.

Prime Factorization of 21474

Prime Factorization of 21482

Now multiplying the highest exponent prime factors to calculate the LCM of 21474 and 21482.

LCM(21474,21482) = 2¹ × 3² × 1193¹ × 23¹ × 467¹
LCM(21474,21482) = 230652234