What is the Least Common Multiple of 58512 and 58530?

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 58512 and 58530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58512 and 58530, than apply into the LCM equation.

GCF(58512,58530) = 6
LCM(58512,58530) = ( 58512 × 58530) / 6
LCM(58512,58530) = 3424707360 / 6
LCM(58512,58530) = 570784560

Least Common Multiple (LCM) of 58512 and 58530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58512 and 58530. First we will calculate the prime factors of 58512 and 58530.

Prime Factorization of 58512

Prime Factorization of 58530

Now multiplying the highest exponent prime factors to calculate the LCM of 58512 and 58530.

LCM(58512,58530) = 2⁴ × 3¹ × 23¹ × 53¹ × 5¹ × 1951¹
LCM(58512,58530) = 570784560