What is the Least Common Multiple of 3774 and 3789?

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 3774 and 3789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3774 and 3789, than apply into the LCM equation.

GCF(3774,3789) = 3
LCM(3774,3789) = ( 3774 × 3789) / 3
LCM(3774,3789) = 14299686 / 3
LCM(3774,3789) = 4766562

Least Common Multiple (LCM) of 3774 and 3789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3789. First we will calculate the prime factors of 3774 and 3789.

Prime Factorization of 3774

Prime Factorization of 3789

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3789.

LCM(3774,3789) = 2¹ × 3² × 17¹ × 37¹ × 421¹
LCM(3774,3789) = 4766562