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What is the Least Common Multiple of 9047 and 9055?

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 9047 and 9055 is 81920585.

LCM(9047,9055) = 81920585

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Least Common Multiple of 9047 and 9055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9047 and 9055, than apply into the LCM equation.

GCF(9047,9055) = 1
LCM(9047,9055) = ( 9047 × 9055) / 1
LCM(9047,9055) = 81920585 / 1
LCM(9047,9055) = 81920585

Least Common Multiple (LCM) of 9047 and 9055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9047 and 9055. First we will calculate the prime factors of 9047 and 9055.

Prime Factorization of 9047

Prime factors of 9047 are 83, 109. Prime factorization of 9047 in exponential form is:

9047 = 831 × 1091

Prime Factorization of 9055

Prime factors of 9055 are 5, 1811. Prime factorization of 9055 in exponential form is:

9055 = 51 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 9047 and 9055.

LCM(9047,9055) = 831 × 1091 × 51 × 18111
LCM(9047,9055) = 81920585