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What is the Least Common Multiple of 11081 and 11090?

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 11081 and 11090 is 122888290.

LCM(11081,11090) = 122888290

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Least Common Multiple of 11081 and 11090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11081 and 11090, than apply into the LCM equation.

GCF(11081,11090) = 1
LCM(11081,11090) = ( 11081 × 11090) / 1
LCM(11081,11090) = 122888290 / 1
LCM(11081,11090) = 122888290

Least Common Multiple (LCM) of 11081 and 11090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11081 and 11090. First we will calculate the prime factors of 11081 and 11090.

Prime Factorization of 11081

Prime factors of 11081 are 7, 1583. Prime factorization of 11081 in exponential form is:

11081 = 71 × 15831

Prime Factorization of 11090

Prime factors of 11090 are 2, 5, 1109. Prime factorization of 11090 in exponential form is:

11090 = 21 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 11081 and 11090.

LCM(11081,11090) = 71 × 15831 × 21 × 51 × 11091
LCM(11081,11090) = 122888290