What is the Least Common Multiple of 3783 and 3795?

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 3783 and 3795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3783 and 3795, than apply into the LCM equation.

GCF(3783,3795) = 3
LCM(3783,3795) = ( 3783 × 3795) / 3
LCM(3783,3795) = 14356485 / 3
LCM(3783,3795) = 4785495

Least Common Multiple (LCM) of 3783 and 3795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3795. First we will calculate the prime factors of 3783 and 3795.

Prime Factorization of 3783

Prime Factorization of 3795

Now multiplying the highest exponent prime factors to calculate the LCM of 3783 and 3795.

LCM(3783,3795) = 3¹ × 13¹ × 97¹ × 5¹ × 11¹ × 23¹
LCM(3783,3795) = 4785495