GCF and LCM Calculator Logo

What is the Least Common Multiple of 12882 and 12893?

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 12882 and 12893 is 166087626.

LCM(12882,12893) = 166087626

LCM Calculator and
and

Least Common Multiple of 12882 and 12893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12882 and 12893, than apply into the LCM equation.

GCF(12882,12893) = 1
LCM(12882,12893) = ( 12882 × 12893) / 1
LCM(12882,12893) = 166087626 / 1
LCM(12882,12893) = 166087626

Least Common Multiple (LCM) of 12882 and 12893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12882 and 12893. First we will calculate the prime factors of 12882 and 12893.

Prime Factorization of 12882

Prime factors of 12882 are 2, 3, 19, 113. Prime factorization of 12882 in exponential form is:

12882 = 21 × 31 × 191 × 1131

Prime Factorization of 12893

Prime factors of 12893 are 12893. Prime factorization of 12893 in exponential form is:

12893 = 128931

Now multiplying the highest exponent prime factors to calculate the LCM of 12882 and 12893.

LCM(12882,12893) = 21 × 31 × 191 × 1131 × 128931
LCM(12882,12893) = 166087626