What is the Least Common Multiple of 54784 and 54803?

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 54784 and 54803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54784 and 54803, than apply into the LCM equation.

GCF(54784,54803) = 1
LCM(54784,54803) = ( 54784 × 54803) / 1
LCM(54784,54803) = 3002327552 / 1
LCM(54784,54803) = 3002327552

Least Common Multiple (LCM) of 54784 and 54803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54784 and 54803. First we will calculate the prime factors of 54784 and 54803.

Prime Factorization of 54784

Prime Factorization of 54803

Now multiplying the highest exponent prime factors to calculate the LCM of 54784 and 54803.

LCM(54784,54803) = 2⁹ × 107¹ × 7¹ × 7829¹
LCM(54784,54803) = 3002327552