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What is the Least Common Multiple of 11131 and 11144?

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 11131 and 11144 is 124043864.

LCM(11131,11144) = 124043864

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Least Common Multiple of 11131 and 11144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11131 and 11144, than apply into the LCM equation.

GCF(11131,11144) = 1
LCM(11131,11144) = ( 11131 × 11144) / 1
LCM(11131,11144) = 124043864 / 1
LCM(11131,11144) = 124043864

Least Common Multiple (LCM) of 11131 and 11144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11131 and 11144. First we will calculate the prime factors of 11131 and 11144.

Prime Factorization of 11131

Prime factors of 11131 are 11131. Prime factorization of 11131 in exponential form is:

11131 = 111311

Prime Factorization of 11144

Prime factors of 11144 are 2, 7, 199. Prime factorization of 11144 in exponential form is:

11144 = 23 × 71 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 11131 and 11144.

LCM(11131,11144) = 111311 × 23 × 71 × 1991
LCM(11131,11144) = 124043864