What is the Least Common Multiple of 84474 and 84482?

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 84474 and 84482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84474 and 84482, than apply into the LCM equation.

GCF(84474,84482) = 2
LCM(84474,84482) = ( 84474 × 84482) / 2
LCM(84474,84482) = 7136532468 / 2
LCM(84474,84482) = 3568266234

Least Common Multiple (LCM) of 84474 and 84482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84474 and 84482. First we will calculate the prime factors of 84474 and 84482.

Prime Factorization of 84474

Prime Factorization of 84482

Now multiplying the highest exponent prime factors to calculate the LCM of 84474 and 84482.

LCM(84474,84482) = 2¹ × 3² × 13¹ × 19² × 53¹ × 797¹
LCM(84474,84482) = 3568266234