What is the Least Common Multiple of 58496 and 58500?

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 58496 and 58500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58496 and 58500, than apply into the LCM equation.

GCF(58496,58500) = 4
LCM(58496,58500) = ( 58496 × 58500) / 4
LCM(58496,58500) = 3422016000 / 4
LCM(58496,58500) = 855504000

Least Common Multiple (LCM) of 58496 and 58500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58496 and 58500. First we will calculate the prime factors of 58496 and 58500.

Prime Factorization of 58496

Prime Factorization of 58500

Now multiplying the highest exponent prime factors to calculate the LCM of 58496 and 58500.

LCM(58496,58500) = 2⁷ × 457¹ × 3² × 5³ × 13¹
LCM(58496,58500) = 855504000