What is the Least Common Multiple of 32784 and 32803?

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 32784 and 32803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32784 and 32803, than apply into the LCM equation.

GCF(32784,32803) = 1
LCM(32784,32803) = ( 32784 × 32803) / 1
LCM(32784,32803) = 1075413552 / 1
LCM(32784,32803) = 1075413552

Least Common Multiple (LCM) of 32784 and 32803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32784 and 32803. First we will calculate the prime factors of 32784 and 32803.

Prime Factorization of 32784

Prime Factorization of 32803

Now multiplying the highest exponent prime factors to calculate the LCM of 32784 and 32803.

LCM(32784,32803) = 2⁴ × 3¹ × 683¹ × 32803¹
LCM(32784,32803) = 1075413552