What is the Least Common Multiple of 12908 and 12928?

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 12908 and 12928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12908 and 12928, than apply into the LCM equation.

GCF(12908,12928) = 4
LCM(12908,12928) = ( 12908 × 12928) / 4
LCM(12908,12928) = 166874624 / 4
LCM(12908,12928) = 41718656

Least Common Multiple (LCM) of 12908 and 12928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12908 and 12928. First we will calculate the prime factors of 12908 and 12928.

Prime Factorization of 12908

Prime Factorization of 12928

Now multiplying the highest exponent prime factors to calculate the LCM of 12908 and 12928.

LCM(12908,12928) = 2⁷ × 7¹ × 461¹ × 101¹
LCM(12908,12928) = 41718656