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What is the Least Common Multiple of 11083 and 11091?

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 11083 and 11091 is 122921553.

LCM(11083,11091) = 122921553

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Least Common Multiple of 11083 and 11091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11083 and 11091, than apply into the LCM equation.

GCF(11083,11091) = 1
LCM(11083,11091) = ( 11083 × 11091) / 1
LCM(11083,11091) = 122921553 / 1
LCM(11083,11091) = 122921553

Least Common Multiple (LCM) of 11083 and 11091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11083 and 11091. First we will calculate the prime factors of 11083 and 11091.

Prime Factorization of 11083

Prime factors of 11083 are 11083. Prime factorization of 11083 in exponential form is:

11083 = 110831

Prime Factorization of 11091

Prime factors of 11091 are 3, 3697. Prime factorization of 11091 in exponential form is:

11091 = 31 × 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 11083 and 11091.

LCM(11083,11091) = 110831 × 31 × 36971
LCM(11083,11091) = 122921553