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What is the Least Common Multiple of 11168 and 11179?

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 11168 and 11179 is 124847072.

LCM(11168,11179) = 124847072

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Least Common Multiple of 11168 and 11179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11168 and 11179, than apply into the LCM equation.

GCF(11168,11179) = 1
LCM(11168,11179) = ( 11168 × 11179) / 1
LCM(11168,11179) = 124847072 / 1
LCM(11168,11179) = 124847072

Least Common Multiple (LCM) of 11168 and 11179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11168 and 11179. First we will calculate the prime factors of 11168 and 11179.

Prime Factorization of 11168

Prime factors of 11168 are 2, 349. Prime factorization of 11168 in exponential form is:

11168 = 25 × 3491

Prime Factorization of 11179

Prime factors of 11179 are 7, 1597. Prime factorization of 11179 in exponential form is:

11179 = 71 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 11168 and 11179.

LCM(11168,11179) = 25 × 3491 × 71 × 15971
LCM(11168,11179) = 124847072