What is the Least Common Multiple of 55599 and 55605?

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 55599 and 55605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55599 and 55605, than apply into the LCM equation.

GCF(55599,55605) = 3
LCM(55599,55605) = ( 55599 × 55605) / 3
LCM(55599,55605) = 3091582395 / 3
LCM(55599,55605) = 1030527465

Least Common Multiple (LCM) of 55599 and 55605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55599 and 55605. First we will calculate the prime factors of 55599 and 55605.

Prime Factorization of 55599

Prime Factorization of 55605

Now multiplying the highest exponent prime factors to calculate the LCM of 55599 and 55605.

LCM(55599,55605) = 3¹ × 43¹ × 431¹ × 5¹ × 11¹ × 337¹
LCM(55599,55605) = 1030527465