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What is the Least Common Multiple of 11828 and 11841?

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 11828 and 11841 is 140055348.

LCM(11828,11841) = 140055348

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Least Common Multiple of 11828 and 11841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11828 and 11841, than apply into the LCM equation.

GCF(11828,11841) = 1
LCM(11828,11841) = ( 11828 × 11841) / 1
LCM(11828,11841) = 140055348 / 1
LCM(11828,11841) = 140055348

Least Common Multiple (LCM) of 11828 and 11841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11828 and 11841. First we will calculate the prime factors of 11828 and 11841.

Prime Factorization of 11828

Prime factors of 11828 are 2, 2957. Prime factorization of 11828 in exponential form is:

11828 = 22 × 29571

Prime Factorization of 11841

Prime factors of 11841 are 3, 3947. Prime factorization of 11841 in exponential form is:

11841 = 31 × 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 11828 and 11841.

LCM(11828,11841) = 22 × 29571 × 31 × 39471
LCM(11828,11841) = 140055348