What is the Least Common Multiple of 55000 and 55015?

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 55000 and 55015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55000 and 55015, than apply into the LCM equation.

GCF(55000,55015) = 5
LCM(55000,55015) = ( 55000 × 55015) / 5
LCM(55000,55015) = 3025825000 / 5
LCM(55000,55015) = 605165000

Least Common Multiple (LCM) of 55000 and 55015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55000 and 55015. First we will calculate the prime factors of 55000 and 55015.

Prime Factorization of 55000

Prime Factorization of 55015

Now multiplying the highest exponent prime factors to calculate the LCM of 55000 and 55015.

LCM(55000,55015) = 2³ × 5⁴ × 11¹ × 11003¹
LCM(55000,55015) = 605165000