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What is the Least Common Multiple of 44826 and 44841?

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 44826 and 44841 is 670014222.

LCM(44826,44841) = 670014222

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Least Common Multiple of 44826 and 44841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44826 and 44841, than apply into the LCM equation.

GCF(44826,44841) = 3
LCM(44826,44841) = ( 44826 × 44841) / 3
LCM(44826,44841) = 2010042666 / 3
LCM(44826,44841) = 670014222

Least Common Multiple (LCM) of 44826 and 44841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44826 and 44841. First we will calculate the prime factors of 44826 and 44841.

Prime Factorization of 44826

Prime factors of 44826 are 2, 3, 31, 241. Prime factorization of 44826 in exponential form is:

44826 = 21 × 31 × 311 × 2411

Prime Factorization of 44841

Prime factors of 44841 are 3, 14947. Prime factorization of 44841 in exponential form is:

44841 = 31 × 149471

Now multiplying the highest exponent prime factors to calculate the LCM of 44826 and 44841.

LCM(44826,44841) = 21 × 31 × 311 × 2411 × 149471
LCM(44826,44841) = 670014222