GCF and LCM Calculator Logo

What is the Least Common Multiple of 12787 and 12798?

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 12787 and 12798 is 163648026.

LCM(12787,12798) = 163648026

LCM Calculator and
and

Least Common Multiple of 12787 and 12798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12787 and 12798, than apply into the LCM equation.

GCF(12787,12798) = 1
LCM(12787,12798) = ( 12787 × 12798) / 1
LCM(12787,12798) = 163648026 / 1
LCM(12787,12798) = 163648026

Least Common Multiple (LCM) of 12787 and 12798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12787 and 12798. First we will calculate the prime factors of 12787 and 12798.

Prime Factorization of 12787

Prime factors of 12787 are 19, 673. Prime factorization of 12787 in exponential form is:

12787 = 191 × 6731

Prime Factorization of 12798

Prime factors of 12798 are 2, 3, 79. Prime factorization of 12798 in exponential form is:

12798 = 21 × 34 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 12787 and 12798.

LCM(12787,12798) = 191 × 6731 × 21 × 34 × 791
LCM(12787,12798) = 163648026