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What is the Least Common Multiple of 11004 and 11022?

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 11004 and 11022 is 20214348.

LCM(11004,11022) = 20214348

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Least Common Multiple of 11004 and 11022 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 11022, than apply into the LCM equation.

GCF(11004,11022) = 6
LCM(11004,11022) = ( 11004 × 11022) / 6
LCM(11004,11022) = 121286088 / 6
LCM(11004,11022) = 20214348

Least Common Multiple (LCM) of 11004 and 11022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11004 and 11022. First we will calculate the prime factors of 11004 and 11022.

Prime Factorization of 11004

Prime factors of 11004 are 2, 3, 7, 131. Prime factorization of 11004 in exponential form is:

11004 = 22 × 31 × 71 × 1311

Prime Factorization of 11022

Prime factors of 11022 are 2, 3, 11, 167. Prime factorization of 11022 in exponential form is:

11022 = 21 × 31 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 11004 and 11022.

LCM(11004,11022) = 22 × 31 × 71 × 1311 × 111 × 1671
LCM(11004,11022) = 20214348