What is the Least Common Multiple of 55752 and 55756?

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 55752 and 55756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55752 and 55756, than apply into the LCM equation.

GCF(55752,55756) = 4
LCM(55752,55756) = ( 55752 × 55756) / 4
LCM(55752,55756) = 3108508512 / 4
LCM(55752,55756) = 777127128

Least Common Multiple (LCM) of 55752 and 55756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55752 and 55756. First we will calculate the prime factors of 55752 and 55756.

Prime Factorization of 55752

Prime Factorization of 55756

Now multiplying the highest exponent prime factors to calculate the LCM of 55752 and 55756.

LCM(55752,55756) = 2³ × 3¹ × 23¹ × 101¹ × 53¹ × 263¹
LCM(55752,55756) = 777127128