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What is the Least Common Multiple of 81232 and 81237?

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 81232 and 81237 is 6599043984.

LCM(81232,81237) = 6599043984

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Least Common Multiple of 81232 and 81237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81232 and 81237, than apply into the LCM equation.

GCF(81232,81237) = 1
LCM(81232,81237) = ( 81232 × 81237) / 1
LCM(81232,81237) = 6599043984 / 1
LCM(81232,81237) = 6599043984

Least Common Multiple (LCM) of 81232 and 81237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81232 and 81237. First we will calculate the prime factors of 81232 and 81237.

Prime Factorization of 81232

Prime factors of 81232 are 2, 5077. Prime factorization of 81232 in exponential form is:

81232 = 24 × 50771

Prime Factorization of 81237

Prime factors of 81237 are 3, 13, 2083. Prime factorization of 81237 in exponential form is:

81237 = 31 × 131 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 81232 and 81237.

LCM(81232,81237) = 24 × 50771 × 31 × 131 × 20831
LCM(81232,81237) = 6599043984