What is the Least Common Multiple of 3792 and 3798?

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 3792 and 3798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3792 and 3798, than apply into the LCM equation.

GCF(3792,3798) = 6
LCM(3792,3798) = ( 3792 × 3798) / 6
LCM(3792,3798) = 14402016 / 6
LCM(3792,3798) = 2400336

Least Common Multiple (LCM) of 3792 and 3798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3792 and 3798. First we will calculate the prime factors of 3792 and 3798.

Prime Factorization of 3792

Prime Factorization of 3798

Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3798.

LCM(3792,3798) = 2⁴ × 3² × 79¹ × 211¹
LCM(3792,3798) = 2400336