GCF and LCM Calculator Logo

What is the Least Common Multiple of 12777 and 12785?

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 12777 and 12785 is 163353945.

LCM(12777,12785) = 163353945

LCM Calculator and
and

Least Common Multiple of 12777 and 12785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12777 and 12785, than apply into the LCM equation.

GCF(12777,12785) = 1
LCM(12777,12785) = ( 12777 × 12785) / 1
LCM(12777,12785) = 163353945 / 1
LCM(12777,12785) = 163353945

Least Common Multiple (LCM) of 12777 and 12785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12777 and 12785. First we will calculate the prime factors of 12777 and 12785.

Prime Factorization of 12777

Prime factors of 12777 are 3, 4259. Prime factorization of 12777 in exponential form is:

12777 = 31 × 42591

Prime Factorization of 12785

Prime factors of 12785 are 5, 2557. Prime factorization of 12785 in exponential form is:

12785 = 51 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 12777 and 12785.

LCM(12777,12785) = 31 × 42591 × 51 × 25571
LCM(12777,12785) = 163353945