GCF and LCM Calculator Logo

What is the Least Common Multiple of 3782 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 (LCM) of 3782 and 3798 is 7182018.

LCM(3782,3798) = 7182018

LCM Calculator and
and

Least Common Multiple of 3782 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 3782 and 3798, than apply into the LCM equation.

GCF(3782,3798) = 2
LCM(3782,3798) = ( 3782 × 3798) / 2
LCM(3782,3798) = 14364036 / 2
LCM(3782,3798) = 7182018

Least Common Multiple (LCM) of 3782 and 3798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3798. First we will calculate the prime factors of 3782 and 3798.

Prime Factorization of 3782

Prime factors of 3782 are 2, 31, 61. Prime factorization of 3782 in exponential form is:

3782 = 21 × 311 × 611

Prime Factorization of 3798

Prime factors of 3798 are 2, 3, 211. Prime factorization of 3798 in exponential form is:

3798 = 21 × 32 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3782 and 3798.

LCM(3782,3798) = 21 × 311 × 611 × 32 × 2111
LCM(3782,3798) = 7182018