GCF and LCM Calculator Logo

What is the Least Common Multiple of 10786 and 10792?

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 10786 and 10792 is 58201256.

LCM(10786,10792) = 58201256

LCM Calculator and
and

Least Common Multiple of 10786 and 10792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10786 and 10792, than apply into the LCM equation.

GCF(10786,10792) = 2
LCM(10786,10792) = ( 10786 × 10792) / 2
LCM(10786,10792) = 116402512 / 2
LCM(10786,10792) = 58201256

Least Common Multiple (LCM) of 10786 and 10792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10786 and 10792. First we will calculate the prime factors of 10786 and 10792.

Prime Factorization of 10786

Prime factors of 10786 are 2, 5393. Prime factorization of 10786 in exponential form is:

10786 = 21 × 53931

Prime Factorization of 10792

Prime factors of 10792 are 2, 19, 71. Prime factorization of 10792 in exponential form is:

10792 = 23 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 10786 and 10792.

LCM(10786,10792) = 23 × 53931 × 191 × 711
LCM(10786,10792) = 58201256