GCF and LCM Calculator Logo

What is the Least Common Multiple of 12943 and 12948?

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 12943 and 12948 is 167585964.

LCM(12943,12948) = 167585964

LCM Calculator and
and

Least Common Multiple of 12943 and 12948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12943 and 12948, than apply into the LCM equation.

GCF(12943,12948) = 1
LCM(12943,12948) = ( 12943 × 12948) / 1
LCM(12943,12948) = 167585964 / 1
LCM(12943,12948) = 167585964

Least Common Multiple (LCM) of 12943 and 12948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12943 and 12948. First we will calculate the prime factors of 12943 and 12948.

Prime Factorization of 12943

Prime factors of 12943 are 7, 43. Prime factorization of 12943 in exponential form is:

12943 = 71 × 432

Prime Factorization of 12948

Prime factors of 12948 are 2, 3, 13, 83. Prime factorization of 12948 in exponential form is:

12948 = 22 × 31 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 12943 and 12948.

LCM(12943,12948) = 71 × 432 × 22 × 31 × 131 × 831
LCM(12943,12948) = 167585964