What is the Least Common Multiple of 11004 and 11024?

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 11004 and 11024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11004 and 11024, than apply into the LCM equation.

GCF(11004,11024) = 4
LCM(11004,11024) = ( 11004 × 11024) / 4
LCM(11004,11024) = 121308096 / 4
LCM(11004,11024) = 30327024

Least Common Multiple (LCM) of 11004 and 11024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11004 and 11024. First we will calculate the prime factors of 11004 and 11024.

Prime Factorization of 11004

Prime Factorization of 11024

Now multiplying the highest exponent prime factors to calculate the LCM of 11004 and 11024.

LCM(11004,11024) = 2⁴ × 3¹ × 7¹ × 131¹ × 13¹ × 53¹
LCM(11004,11024) = 30327024