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What is the Least Common Multiple of 11156 and 11171?

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 11156 and 11171 is 124623676.

LCM(11156,11171) = 124623676

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Least Common Multiple of 11156 and 11171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11156 and 11171, than apply into the LCM equation.

GCF(11156,11171) = 1
LCM(11156,11171) = ( 11156 × 11171) / 1
LCM(11156,11171) = 124623676 / 1
LCM(11156,11171) = 124623676

Least Common Multiple (LCM) of 11156 and 11171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11156 and 11171. First we will calculate the prime factors of 11156 and 11171.

Prime Factorization of 11156

Prime factors of 11156 are 2, 2789. Prime factorization of 11156 in exponential form is:

11156 = 22 × 27891

Prime Factorization of 11171

Prime factors of 11171 are 11171. Prime factorization of 11171 in exponential form is:

11171 = 111711

Now multiplying the highest exponent prime factors to calculate the LCM of 11156 and 11171.

LCM(11156,11171) = 22 × 27891 × 111711
LCM(11156,11171) = 124623676