What is the Least Common Multiple of 12608 and 12628?

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 12608 and 12628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12608 and 12628, than apply into the LCM equation.

GCF(12608,12628) = 4
LCM(12608,12628) = ( 12608 × 12628) / 4
LCM(12608,12628) = 159213824 / 4
LCM(12608,12628) = 39803456

Least Common Multiple (LCM) of 12608 and 12628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12608 and 12628. First we will calculate the prime factors of 12608 and 12628.

Prime Factorization of 12608

Prime Factorization of 12628

Now multiplying the highest exponent prime factors to calculate the LCM of 12608 and 12628.

LCM(12608,12628) = 2⁶ × 197¹ × 7¹ × 11¹ × 41¹
LCM(12608,12628) = 39803456