What is the Least Common Multiple of 55000 and 55012?

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 55012 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 55012, than apply into the LCM equation.

GCF(55000,55012) = 4
LCM(55000,55012) = ( 55000 × 55012) / 4
LCM(55000,55012) = 3025660000 / 4
LCM(55000,55012) = 756415000

Least Common Multiple (LCM) of 55000 and 55012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55000 and 55012. First we will calculate the prime factors of 55000 and 55012.

Prime Factorization of 55000

Prime Factorization of 55012

Now multiplying the highest exponent prime factors to calculate the LCM of 55000 and 55012.

LCM(55000,55012) = 2³ × 5⁴ × 11¹ × 17¹ × 809¹
LCM(55000,55012) = 756415000