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What is the Least Common Multiple of 11005 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 (LCM) of 11005 and 11024 is 121319120.

LCM(11005,11024) = 121319120

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Least Common Multiple of 11005 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 11005 and 11024, than apply into the LCM equation.

GCF(11005,11024) = 1
LCM(11005,11024) = ( 11005 × 11024) / 1
LCM(11005,11024) = 121319120 / 1
LCM(11005,11024) = 121319120

Least Common Multiple (LCM) of 11005 and 11024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11005 and 11024. First we will calculate the prime factors of 11005 and 11024.

Prime Factorization of 11005

Prime factors of 11005 are 5, 31, 71. Prime factorization of 11005 in exponential form is:

11005 = 51 × 311 × 711

Prime Factorization of 11024

Prime factors of 11024 are 2, 13, 53. Prime factorization of 11024 in exponential form is:

11024 = 24 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 11005 and 11024.

LCM(11005,11024) = 51 × 311 × 711 × 24 × 131 × 531
LCM(11005,11024) = 121319120