What is the Least Common Multiple of 6474 and 6482?

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 6474 and 6482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6474 and 6482, than apply into the LCM equation.

GCF(6474,6482) = 2
LCM(6474,6482) = ( 6474 × 6482) / 2
LCM(6474,6482) = 41964468 / 2
LCM(6474,6482) = 20982234

Least Common Multiple (LCM) of 6474 and 6482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6474 and 6482. First we will calculate the prime factors of 6474 and 6482.

Prime Factorization of 6474

Prime Factorization of 6482

Now multiplying the highest exponent prime factors to calculate the LCM of 6474 and 6482.

LCM(6474,6482) = 2¹ × 3¹ × 13¹ × 83¹ × 7¹ × 463¹
LCM(6474,6482) = 20982234