What is the Least Common Multiple of 58429 and 58449?

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 58429 and 58449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58429 and 58449, than apply into the LCM equation.

GCF(58429,58449) = 1
LCM(58429,58449) = ( 58429 × 58449) / 1
LCM(58429,58449) = 3415116621 / 1
LCM(58429,58449) = 3415116621

Least Common Multiple (LCM) of 58429 and 58449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58429 and 58449. First we will calculate the prime factors of 58429 and 58449.

Prime Factorization of 58429

Prime Factorization of 58449

Now multiplying the highest exponent prime factors to calculate the LCM of 58429 and 58449.

LCM(58429,58449) = 7¹ × 17¹ × 491¹ × 3¹ × 19483¹
LCM(58429,58449) = 3415116621