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What is the Least Common Multiple of 11171 and 11181?

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 11171 and 11181 is 124902951.

LCM(11171,11181) = 124902951

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Least Common Multiple of 11171 and 11181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11171 and 11181, than apply into the LCM equation.

GCF(11171,11181) = 1
LCM(11171,11181) = ( 11171 × 11181) / 1
LCM(11171,11181) = 124902951 / 1
LCM(11171,11181) = 124902951

Least Common Multiple (LCM) of 11171 and 11181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11171 and 11181. First we will calculate the prime factors of 11171 and 11181.

Prime Factorization of 11171

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

11171 = 111711

Prime Factorization of 11181

Prime factors of 11181 are 3, 3727. Prime factorization of 11181 in exponential form is:

11181 = 31 × 37271

Now multiplying the highest exponent prime factors to calculate the LCM of 11171 and 11181.

LCM(11171,11181) = 111711 × 31 × 37271
LCM(11171,11181) = 124902951