What is the Least Common Multiple of 6783 and 6803?

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 6783 and 6803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6783 and 6803, than apply into the LCM equation.

GCF(6783,6803) = 1
LCM(6783,6803) = ( 6783 × 6803) / 1
LCM(6783,6803) = 46144749 / 1
LCM(6783,6803) = 46144749

Least Common Multiple (LCM) of 6783 and 6803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6783 and 6803. First we will calculate the prime factors of 6783 and 6803.

Prime Factorization of 6783

Prime Factorization of 6803

Now multiplying the highest exponent prime factors to calculate the LCM of 6783 and 6803.

LCM(6783,6803) = 3¹ × 7¹ × 17¹ × 19¹ × 6803¹
LCM(6783,6803) = 46144749