What is the Least Common Multiple of 10746 and 10752?

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 10746 and 10752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10746 and 10752, than apply into the LCM equation.

GCF(10746,10752) = 6
LCM(10746,10752) = ( 10746 × 10752) / 6
LCM(10746,10752) = 115540992 / 6
LCM(10746,10752) = 19256832

Least Common Multiple (LCM) of 10746 and 10752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10746 and 10752. First we will calculate the prime factors of 10746 and 10752.

Prime Factorization of 10746

Prime Factorization of 10752

Now multiplying the highest exponent prime factors to calculate the LCM of 10746 and 10752.

LCM(10746,10752) = 2⁹ × 3³ × 199¹ × 7¹
LCM(10746,10752) = 19256832