What is the Least Common Multiple of 11000 and 11012?

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 11000 and 11012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11000 and 11012, than apply into the LCM equation.

GCF(11000,11012) = 4
LCM(11000,11012) = ( 11000 × 11012) / 4
LCM(11000,11012) = 121132000 / 4
LCM(11000,11012) = 30283000

Least Common Multiple (LCM) of 11000 and 11012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11000 and 11012. First we will calculate the prime factors of 11000 and 11012.

Prime Factorization of 11000

Prime Factorization of 11012

Now multiplying the highest exponent prime factors to calculate the LCM of 11000 and 11012.

LCM(11000,11012) = 2³ × 5³ × 11¹ × 2753¹
LCM(11000,11012) = 30283000