What is the Least Common Multiple of 33784 and 33803?

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 33784 and 33803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33784 and 33803, than apply into the LCM equation.

GCF(33784,33803) = 1
LCM(33784,33803) = ( 33784 × 33803) / 1
LCM(33784,33803) = 1142000552 / 1
LCM(33784,33803) = 1142000552

Least Common Multiple (LCM) of 33784 and 33803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33784 and 33803. First we will calculate the prime factors of 33784 and 33803.

Prime Factorization of 33784

Prime Factorization of 33803

Now multiplying the highest exponent prime factors to calculate the LCM of 33784 and 33803.

LCM(33784,33803) = 2³ × 41¹ × 103¹ × 7¹ × 11¹ × 439¹
LCM(33784,33803) = 1142000552