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What is the Least Common Multiple of 11088 and 11108?

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 11088 and 11108 is 30791376.

LCM(11088,11108) = 30791376

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Least Common Multiple of 11088 and 11108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11088 and 11108, than apply into the LCM equation.

GCF(11088,11108) = 4
LCM(11088,11108) = ( 11088 × 11108) / 4
LCM(11088,11108) = 123165504 / 4
LCM(11088,11108) = 30791376

Least Common Multiple (LCM) of 11088 and 11108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11088 and 11108. First we will calculate the prime factors of 11088 and 11108.

Prime Factorization of 11088

Prime factors of 11088 are 2, 3, 7, 11. Prime factorization of 11088 in exponential form is:

11088 = 24 × 32 × 71 × 111

Prime Factorization of 11108

Prime factors of 11108 are 2, 2777. Prime factorization of 11108 in exponential form is:

11108 = 22 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 11088 and 11108.

LCM(11088,11108) = 24 × 32 × 71 × 111 × 27771
LCM(11088,11108) = 30791376