What is the Least Common Multiple of 12944 and 12958?

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 of 12944 and 12958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12944 and 12958, than apply into the LCM equation.

GCF(12944,12958) = 2
LCM(12944,12958) = ( 12944 × 12958) / 2
LCM(12944,12958) = 167728352 / 2
LCM(12944,12958) = 83864176

Least Common Multiple (LCM) of 12944 and 12958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12944 and 12958. First we will calculate the prime factors of 12944 and 12958.

Prime Factorization of 12944

Prime Factorization of 12958

Now multiplying the highest exponent prime factors to calculate the LCM of 12944 and 12958.

LCM(12944,12958) = 2⁴ × 809¹ × 11¹ × 19¹ × 31¹
LCM(12944,12958) = 83864176