What is the Least Common Multiple of 12928 and 12942?

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 12928 and 12942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12928 and 12942, than apply into the LCM equation.

GCF(12928,12942) = 2
LCM(12928,12942) = ( 12928 × 12942) / 2
LCM(12928,12942) = 167314176 / 2
LCM(12928,12942) = 83657088

Least Common Multiple (LCM) of 12928 and 12942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12928 and 12942. First we will calculate the prime factors of 12928 and 12942.

Prime Factorization of 12928

Prime Factorization of 12942

Now multiplying the highest exponent prime factors to calculate the LCM of 12928 and 12942.

LCM(12928,12942) = 2⁷ × 101¹ × 3² × 719¹
LCM(12928,12942) = 83657088