What is the Least Common Multiple of 55752 and 55758?

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 55758 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 55758, than apply into the LCM equation.

GCF(55752,55758) = 6
LCM(55752,55758) = ( 55752 × 55758) / 6
LCM(55752,55758) = 3108620016 / 6
LCM(55752,55758) = 518103336

Least Common Multiple (LCM) of 55752 and 55758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55752 and 55758. First we will calculate the prime factors of 55752 and 55758.

Prime Factorization of 55752

Prime Factorization of 55758

Now multiplying the highest exponent prime factors to calculate the LCM of 55752 and 55758.

LCM(55752,55758) = 2³ × 3¹ × 23¹ × 101¹ × 9293¹
LCM(55752,55758) = 518103336