What is the Least Common Multiple of 10752 and 10756?

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 10752 and 10756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10752 and 10756, than apply into the LCM equation.

GCF(10752,10756) = 4
LCM(10752,10756) = ( 10752 × 10756) / 4
LCM(10752,10756) = 115648512 / 4
LCM(10752,10756) = 28912128

Least Common Multiple (LCM) of 10752 and 10756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10752 and 10756. First we will calculate the prime factors of 10752 and 10756.

Prime Factorization of 10752

Prime Factorization of 10756

Now multiplying the highest exponent prime factors to calculate the LCM of 10752 and 10756.

LCM(10752,10756) = 2⁹ × 3¹ × 7¹ × 2689¹
LCM(10752,10756) = 28912128