What is the Least Common Multiple of 3784 and 3803?

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 3784 and 3803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3784 and 3803, than apply into the LCM equation.

GCF(3784,3803) = 1
LCM(3784,3803) = ( 3784 × 3803) / 1
LCM(3784,3803) = 14390552 / 1
LCM(3784,3803) = 14390552

Least Common Multiple (LCM) of 3784 and 3803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3803. First we will calculate the prime factors of 3784 and 3803.

Prime Factorization of 3784

Prime Factorization of 3803

Now multiplying the highest exponent prime factors to calculate the LCM of 3784 and 3803.

LCM(3784,3803) = 2³ × 11¹ × 43¹ × 3803¹
LCM(3784,3803) = 14390552