What is the Least Common Multiple of 10752 and 10760?

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 10760 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 10760, than apply into the LCM equation.

GCF(10752,10760) = 8
LCM(10752,10760) = ( 10752 × 10760) / 8
LCM(10752,10760) = 115691520 / 8
LCM(10752,10760) = 14461440

Least Common Multiple (LCM) of 10752 and 10760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10752 and 10760. First we will calculate the prime factors of 10752 and 10760.

Prime Factorization of 10752

Prime Factorization of 10760

Now multiplying the highest exponent prime factors to calculate the LCM of 10752 and 10760.

LCM(10752,10760) = 2⁹ × 3¹ × 7¹ × 5¹ × 269¹
LCM(10752,10760) = 14461440