What is the Least Common Multiple of 12496 and 12512?

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 12496 and 12512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12496 and 12512, than apply into the LCM equation.

GCF(12496,12512) = 16
LCM(12496,12512) = ( 12496 × 12512) / 16
LCM(12496,12512) = 156349952 / 16
LCM(12496,12512) = 9771872

Least Common Multiple (LCM) of 12496 and 12512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12496 and 12512. First we will calculate the prime factors of 12496 and 12512.

Prime Factorization of 12496

Prime Factorization of 12512

Now multiplying the highest exponent prime factors to calculate the LCM of 12496 and 12512.

LCM(12496,12512) = 2⁵ × 11¹ × 71¹ × 17¹ × 23¹
LCM(12496,12512) = 9771872