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What is the Least Common Multiple of 41885 and 41903?

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 41885 and 41903 is 1755107155.

LCM(41885,41903) = 1755107155

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Least Common Multiple of 41885 and 41903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41885 and 41903, than apply into the LCM equation.

GCF(41885,41903) = 1
LCM(41885,41903) = ( 41885 × 41903) / 1
LCM(41885,41903) = 1755107155 / 1
LCM(41885,41903) = 1755107155

Least Common Multiple (LCM) of 41885 and 41903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41885 and 41903. First we will calculate the prime factors of 41885 and 41903.

Prime Factorization of 41885

Prime factors of 41885 are 5, 8377. Prime factorization of 41885 in exponential form is:

41885 = 51 × 83771

Prime Factorization of 41903

Prime factors of 41903 are 41903. Prime factorization of 41903 in exponential form is:

41903 = 419031

Now multiplying the highest exponent prime factors to calculate the LCM of 41885 and 41903.

LCM(41885,41903) = 51 × 83771 × 419031
LCM(41885,41903) = 1755107155