What is the Least Common Multiple of 58513 and 58531?

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 58513 and 58531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58513 and 58531, than apply into the LCM equation.

GCF(58513,58531) = 1
LCM(58513,58531) = ( 58513 × 58531) / 1
LCM(58513,58531) = 3424824403 / 1
LCM(58513,58531) = 3424824403

Least Common Multiple (LCM) of 58513 and 58531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58513 and 58531. First we will calculate the prime factors of 58513 and 58531.

Prime Factorization of 58513

Prime Factorization of 58531

Now multiplying the highest exponent prime factors to calculate the LCM of 58513 and 58531.

LCM(58513,58531) = 7¹ × 13¹ × 643¹ × 11¹ × 17¹ × 313¹
LCM(58513,58531) = 3424824403