What is the Least Common Multiple of 25794 and 25803?

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 25794 and 25803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25794 and 25803, than apply into the LCM equation.

GCF(25794,25803) = 9
LCM(25794,25803) = ( 25794 × 25803) / 9
LCM(25794,25803) = 665562582 / 9
LCM(25794,25803) = 73951398

Least Common Multiple (LCM) of 25794 and 25803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25794 and 25803. First we will calculate the prime factors of 25794 and 25803.

Prime Factorization of 25794

Prime Factorization of 25803

Now multiplying the highest exponent prime factors to calculate the LCM of 25794 and 25803.

LCM(25794,25803) = 2¹ × 3² × 1433¹ × 47¹ × 61¹
LCM(25794,25803) = 73951398