What is the Least Common Multiple of 11783 and 11803?

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 11783 and 11803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11783 and 11803, than apply into the LCM equation.

GCF(11783,11803) = 1
LCM(11783,11803) = ( 11783 × 11803) / 1
LCM(11783,11803) = 139074749 / 1
LCM(11783,11803) = 139074749

Least Common Multiple (LCM) of 11783 and 11803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11783 and 11803. First we will calculate the prime factors of 11783 and 11803.

Prime Factorization of 11783

Prime Factorization of 11803

Now multiplying the highest exponent prime factors to calculate the LCM of 11783 and 11803.

LCM(11783,11803) = 11783¹ × 11¹ × 29¹ × 37¹
LCM(11783,11803) = 139074749