What is the Least Common Multiple of 15785 and 15803?

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 15785 and 15803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15785 and 15803, than apply into the LCM equation.

GCF(15785,15803) = 1
LCM(15785,15803) = ( 15785 × 15803) / 1
LCM(15785,15803) = 249450355 / 1
LCM(15785,15803) = 249450355

Least Common Multiple (LCM) of 15785 and 15803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15785 and 15803. First we will calculate the prime factors of 15785 and 15803.

Prime Factorization of 15785

Prime Factorization of 15803

Now multiplying the highest exponent prime factors to calculate the LCM of 15785 and 15803.

LCM(15785,15803) = 5¹ × 7¹ × 11¹ × 41¹ × 15803¹
LCM(15785,15803) = 249450355