GCF and LCM Calculator Logo

What is the Least Common Multiple of 3783 and 3792?

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 (LCM) of 3783 and 3792 is 4781712.

LCM(3783,3792) = 4781712

LCM Calculator and
and

Least Common Multiple of 3783 and 3792 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 3792, than apply into the LCM equation.

GCF(3783,3792) = 3
LCM(3783,3792) = ( 3783 × 3792) / 3
LCM(3783,3792) = 14345136 / 3
LCM(3783,3792) = 4781712

Least Common Multiple (LCM) of 3783 and 3792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3792. First we will calculate the prime factors of 3783 and 3792.

Prime Factorization of 3783

Prime factors of 3783 are 3, 13, 97. Prime factorization of 3783 in exponential form is:

3783 = 31 × 131 × 971

Prime Factorization of 3792

Prime factors of 3792 are 2, 3, 79. Prime factorization of 3792 in exponential form is:

3792 = 24 × 31 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3783 and 3792.

LCM(3783,3792) = 31 × 131 × 971 × 24 × 791
LCM(3783,3792) = 4781712