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What is the Least Common Multiple of 41024 and 41039?

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 41024 and 41039 is 1683583936.

LCM(41024,41039) = 1683583936

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Least Common Multiple of 41024 and 41039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41024 and 41039, than apply into the LCM equation.

GCF(41024,41039) = 1
LCM(41024,41039) = ( 41024 × 41039) / 1
LCM(41024,41039) = 1683583936 / 1
LCM(41024,41039) = 1683583936

Least Common Multiple (LCM) of 41024 and 41039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41024 and 41039. First we will calculate the prime factors of 41024 and 41039.

Prime Factorization of 41024

Prime factors of 41024 are 2, 641. Prime factorization of 41024 in exponential form is:

41024 = 26 × 6411

Prime Factorization of 41039

Prime factors of 41039 are 41039. Prime factorization of 41039 in exponential form is:

41039 = 410391

Now multiplying the highest exponent prime factors to calculate the LCM of 41024 and 41039.

LCM(41024,41039) = 26 × 6411 × 410391
LCM(41024,41039) = 1683583936