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What is the Least Common Multiple of 11083 and 11093?

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 11093 is 122943719.

LCM(11083,11093) = 122943719

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Least Common Multiple of 11083 and 11093 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 11093, than apply into the LCM equation.

GCF(11083,11093) = 1
LCM(11083,11093) = ( 11083 × 11093) / 1
LCM(11083,11093) = 122943719 / 1
LCM(11083,11093) = 122943719

Least Common Multiple (LCM) of 11083 and 11093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11083 and 11093. First we will calculate the prime factors of 11083 and 11093.

Prime Factorization of 11083

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

11083 = 110831

Prime Factorization of 11093

Prime factors of 11093 are 11093. Prime factorization of 11093 in exponential form is:

11093 = 110931

Now multiplying the highest exponent prime factors to calculate the LCM of 11083 and 11093.

LCM(11083,11093) = 110831 × 110931
LCM(11083,11093) = 122943719