What is the Least Common Multiple of 41783 and 41803?

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 41783 and 41803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41783 and 41803, than apply into the LCM equation.

GCF(41783,41803) = 1
LCM(41783,41803) = ( 41783 × 41803) / 1
LCM(41783,41803) = 1746654749 / 1
LCM(41783,41803) = 1746654749

Least Common Multiple (LCM) of 41783 and 41803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41783 and 41803. First we will calculate the prime factors of 41783 and 41803.

Prime Factorization of 41783

Prime Factorization of 41803

Now multiplying the highest exponent prime factors to calculate the LCM of 41783 and 41803.

LCM(41783,41803) = 7¹ × 47¹ × 127¹ × 17¹ × 2459¹
LCM(41783,41803) = 1746654749