What is the Least Common Multiple of 22784 and 22803?

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 22784 and 22803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22784 and 22803, than apply into the LCM equation.

GCF(22784,22803) = 1
LCM(22784,22803) = ( 22784 × 22803) / 1
LCM(22784,22803) = 519543552 / 1
LCM(22784,22803) = 519543552

Least Common Multiple (LCM) of 22784 and 22803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22784 and 22803. First we will calculate the prime factors of 22784 and 22803.

Prime Factorization of 22784

Prime Factorization of 22803

Now multiplying the highest exponent prime factors to calculate the LCM of 22784 and 22803.

LCM(22784,22803) = 2⁸ × 89¹ × 3¹ × 11¹ × 691¹
LCM(22784,22803) = 519543552