What is the Least Common Multiple of 82474 and 82484?

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 82474 and 82484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82474 and 82484, than apply into the LCM equation.

GCF(82474,82484) = 2
LCM(82474,82484) = ( 82474 × 82484) / 2
LCM(82474,82484) = 6802785416 / 2
LCM(82474,82484) = 3401392708

Least Common Multiple (LCM) of 82474 and 82484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82474 and 82484. First we will calculate the prime factors of 82474 and 82484.

Prime Factorization of 82474

Prime Factorization of 82484

Now multiplying the highest exponent prime factors to calculate the LCM of 82474 and 82484.

LCM(82474,82484) = 2² × 7¹ × 43¹ × 137¹ × 17¹ × 1213¹
LCM(82474,82484) = 3401392708