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What is the Least Common Multiple of 9019 and 9031?

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 9019 and 9031 is 81450589.

LCM(9019,9031) = 81450589

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Least Common Multiple of 9019 and 9031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9019 and 9031, than apply into the LCM equation.

GCF(9019,9031) = 1
LCM(9019,9031) = ( 9019 × 9031) / 1
LCM(9019,9031) = 81450589 / 1
LCM(9019,9031) = 81450589

Least Common Multiple (LCM) of 9019 and 9031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9019 and 9031. First we will calculate the prime factors of 9019 and 9031.

Prime Factorization of 9019

Prime factors of 9019 are 29, 311. Prime factorization of 9019 in exponential form is:

9019 = 291 × 3111

Prime Factorization of 9031

Prime factors of 9031 are 11, 821. Prime factorization of 9031 in exponential form is:

9031 = 111 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 9019 and 9031.

LCM(9019,9031) = 291 × 3111 × 111 × 8211
LCM(9019,9031) = 81450589