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What is the Least Common Multiple of 41044 and 41063?

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 41044 and 41063 is 1685389772.

LCM(41044,41063) = 1685389772

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Least Common Multiple of 41044 and 41063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41044 and 41063, than apply into the LCM equation.

GCF(41044,41063) = 1
LCM(41044,41063) = ( 41044 × 41063) / 1
LCM(41044,41063) = 1685389772 / 1
LCM(41044,41063) = 1685389772

Least Common Multiple (LCM) of 41044 and 41063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41044 and 41063. First we will calculate the prime factors of 41044 and 41063.

Prime Factorization of 41044

Prime factors of 41044 are 2, 31, 331. Prime factorization of 41044 in exponential form is:

41044 = 22 × 311 × 3311

Prime Factorization of 41063

Prime factors of 41063 are 11, 3733. Prime factorization of 41063 in exponential form is:

41063 = 111 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 41044 and 41063.

LCM(41044,41063) = 22 × 311 × 3311 × 111 × 37331
LCM(41044,41063) = 1685389772