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What is the Least Common Multiple of 9043 and 9063?

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 9043 and 9063 is 81956709.

LCM(9043,9063) = 81956709

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Least Common Multiple of 9043 and 9063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9043 and 9063, than apply into the LCM equation.

GCF(9043,9063) = 1
LCM(9043,9063) = ( 9043 × 9063) / 1
LCM(9043,9063) = 81956709 / 1
LCM(9043,9063) = 81956709

Least Common Multiple (LCM) of 9043 and 9063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9043 and 9063. First we will calculate the prime factors of 9043 and 9063.

Prime Factorization of 9043

Prime factors of 9043 are 9043. Prime factorization of 9043 in exponential form is:

9043 = 90431

Prime Factorization of 9063

Prime factors of 9063 are 3, 19, 53. Prime factorization of 9063 in exponential form is:

9063 = 32 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9043 and 9063.

LCM(9043,9063) = 90431 × 32 × 191 × 531
LCM(9043,9063) = 81956709