What is the Least Common Multiple of 12642 and 12656?

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 12642 and 12656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12642 and 12656, than apply into the LCM equation.

GCF(12642,12656) = 14
LCM(12642,12656) = ( 12642 × 12656) / 14
LCM(12642,12656) = 159997152 / 14
LCM(12642,12656) = 11428368

Least Common Multiple (LCM) of 12642 and 12656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12642 and 12656. First we will calculate the prime factors of 12642 and 12656.

Prime Factorization of 12642

Prime Factorization of 12656

Now multiplying the highest exponent prime factors to calculate the LCM of 12642 and 12656.

LCM(12642,12656) = 2⁴ × 3¹ × 7² × 43¹ × 113¹
LCM(12642,12656) = 11428368