What is the Least Common Multiple of 11000 and 11008?

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 11008 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 11008, than apply into the LCM equation.

GCF(11000,11008) = 8
LCM(11000,11008) = ( 11000 × 11008) / 8
LCM(11000,11008) = 121088000 / 8
LCM(11000,11008) = 15136000

Least Common Multiple (LCM) of 11000 and 11008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11000 and 11008. First we will calculate the prime factors of 11000 and 11008.

Prime Factorization of 11000

Prime Factorization of 11008

Now multiplying the highest exponent prime factors to calculate the LCM of 11000 and 11008.

LCM(11000,11008) = 2⁸ × 5³ × 11¹ × 43¹
LCM(11000,11008) = 15136000