What is the Least Common Multiple of 15494 and 15500?

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 15494 and 15500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15494 and 15500, than apply into the LCM equation.

GCF(15494,15500) = 2
LCM(15494,15500) = ( 15494 × 15500) / 2
LCM(15494,15500) = 240157000 / 2
LCM(15494,15500) = 120078500

Least Common Multiple (LCM) of 15494 and 15500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15494 and 15500. First we will calculate the prime factors of 15494 and 15500.

Prime Factorization of 15494

Prime Factorization of 15500

Now multiplying the highest exponent prime factors to calculate the LCM of 15494 and 15500.

LCM(15494,15500) = 2² × 61¹ × 127¹ × 5³ × 31¹
LCM(15494,15500) = 120078500