What is the Least Common Multiple of 12544 and 12552?

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 12544 and 12552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12544 and 12552, than apply into the LCM equation.

GCF(12544,12552) = 8
LCM(12544,12552) = ( 12544 × 12552) / 8
LCM(12544,12552) = 157452288 / 8
LCM(12544,12552) = 19681536

Least Common Multiple (LCM) of 12544 and 12552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12544 and 12552. First we will calculate the prime factors of 12544 and 12552.

Prime Factorization of 12544

Prime Factorization of 12552

Now multiplying the highest exponent prime factors to calculate the LCM of 12544 and 12552.

LCM(12544,12552) = 2⁸ × 7² × 3¹ × 523¹
LCM(12544,12552) = 19681536