GCF and LCM Calculator Logo

What is the Least Common Multiple of 11792 and 11805?

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 11792 and 11805 is 139204560.

LCM(11792,11805) = 139204560

LCM Calculator and
and

Least Common Multiple of 11792 and 11805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11792 and 11805, than apply into the LCM equation.

GCF(11792,11805) = 1
LCM(11792,11805) = ( 11792 × 11805) / 1
LCM(11792,11805) = 139204560 / 1
LCM(11792,11805) = 139204560

Least Common Multiple (LCM) of 11792 and 11805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11792 and 11805. First we will calculate the prime factors of 11792 and 11805.

Prime Factorization of 11792

Prime factors of 11792 are 2, 11, 67. Prime factorization of 11792 in exponential form is:

11792 = 24 × 111 × 671

Prime Factorization of 11805

Prime factors of 11805 are 3, 5, 787. Prime factorization of 11805 in exponential form is:

11805 = 31 × 51 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 11792 and 11805.

LCM(11792,11805) = 24 × 111 × 671 × 31 × 51 × 7871
LCM(11792,11805) = 139204560