What is the Least Common Multiple of 58892 and 58900?

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 58892 and 58900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58892 and 58900, than apply into the LCM equation.

GCF(58892,58900) = 4
LCM(58892,58900) = ( 58892 × 58900) / 4
LCM(58892,58900) = 3468738800 / 4
LCM(58892,58900) = 867184700

Least Common Multiple (LCM) of 58892 and 58900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58892 and 58900. First we will calculate the prime factors of 58892 and 58900.

Prime Factorization of 58892

Prime Factorization of 58900

Now multiplying the highest exponent prime factors to calculate the LCM of 58892 and 58900.

LCM(58892,58900) = 2² × 14723¹ × 5² × 19¹ × 31¹
LCM(58892,58900) = 867184700