What is the Least Common Multiple of 28783 and 28803?

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 28783 and 28803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28783 and 28803, than apply into the LCM equation.

GCF(28783,28803) = 1
LCM(28783,28803) = ( 28783 × 28803) / 1
LCM(28783,28803) = 829036749 / 1
LCM(28783,28803) = 829036749

Least Common Multiple (LCM) of 28783 and 28803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28783 and 28803. First we will calculate the prime factors of 28783 and 28803.

Prime Factorization of 28783

Prime Factorization of 28803

Now multiplying the highest exponent prime factors to calculate the LCM of 28783 and 28803.

LCM(28783,28803) = 107¹ × 269¹ × 3¹ × 9601¹
LCM(28783,28803) = 829036749