What is the Least Common Multiple of 55506 and 55511?

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 55506 and 55511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55506 and 55511, than apply into the LCM equation.

GCF(55506,55511) = 1
LCM(55506,55511) = ( 55506 × 55511) / 1
LCM(55506,55511) = 3081193566 / 1
LCM(55506,55511) = 3081193566

Least Common Multiple (LCM) of 55506 and 55511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55506 and 55511. First we will calculate the prime factors of 55506 and 55511.

Prime Factorization of 55506

Prime Factorization of 55511

Now multiplying the highest exponent prime factors to calculate the LCM of 55506 and 55511.

LCM(55506,55511) = 2¹ × 3¹ × 11¹ × 29² × 55511¹
LCM(55506,55511) = 3081193566