What is the Least Common Multiple of 55506 and 55517?

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 55517 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 55517, than apply into the LCM equation.

GCF(55506,55517) = 11
LCM(55506,55517) = ( 55506 × 55517) / 11
LCM(55506,55517) = 3081526602 / 11
LCM(55506,55517) = 280138782

Least Common Multiple (LCM) of 55506 and 55517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55506 and 55517. First we will calculate the prime factors of 55506 and 55517.

Prime Factorization of 55506

Prime Factorization of 55517

Now multiplying the highest exponent prime factors to calculate the LCM of 55506 and 55517.

LCM(55506,55517) = 2¹ × 3¹ × 11¹ × 29² × 7² × 103¹
LCM(55506,55517) = 280138782