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What is the Least Common Multiple of 9024 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 9024 and 9031 is 81495744.

LCM(9024,9031) = 81495744

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Least Common Multiple of 9024 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 9024 and 9031, than apply into the LCM equation.

GCF(9024,9031) = 1
LCM(9024,9031) = ( 9024 × 9031) / 1
LCM(9024,9031) = 81495744 / 1
LCM(9024,9031) = 81495744

Least Common Multiple (LCM) of 9024 and 9031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9031. First we will calculate the prime factors of 9024 and 9031.

Prime Factorization of 9024

Prime factors of 9024 are 2, 3, 47. Prime factorization of 9024 in exponential form is:

9024 = 26 × 31 × 471

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 9024 and 9031.

LCM(9024,9031) = 26 × 31 × 471 × 111 × 8211
LCM(9024,9031) = 81495744