What is the Least Common Multiple of 55752 and 55770?

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 55770 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 55770, than apply into the LCM equation.

GCF(55752,55770) = 6
LCM(55752,55770) = ( 55752 × 55770) / 6
LCM(55752,55770) = 3109289040 / 6
LCM(55752,55770) = 518214840

Least Common Multiple (LCM) of 55752 and 55770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55752 and 55770. First we will calculate the prime factors of 55752 and 55770.

Prime Factorization of 55752

Prime Factorization of 55770

Now multiplying the highest exponent prime factors to calculate the LCM of 55752 and 55770.

LCM(55752,55770) = 2³ × 3¹ × 23¹ × 101¹ × 5¹ × 11¹ × 13²
LCM(55752,55770) = 518214840