What is the Least Common Multiple of 47783 and 47803?

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 47783 and 47803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47783 and 47803, than apply into the LCM equation.

GCF(47783,47803) = 1
LCM(47783,47803) = ( 47783 × 47803) / 1
LCM(47783,47803) = 2284170749 / 1
LCM(47783,47803) = 2284170749

Least Common Multiple (LCM) of 47783 and 47803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47783 and 47803. First we will calculate the prime factors of 47783 and 47803.

Prime Factorization of 47783

Prime Factorization of 47803

Now multiplying the highest exponent prime factors to calculate the LCM of 47783 and 47803.

LCM(47783,47803) = 71¹ × 673¹ × 7¹ × 6829¹
LCM(47783,47803) = 2284170749