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What is the Least Common Multiple of 56487 and 56500?

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 56487 and 56500 is 3191515500.

LCM(56487,56500) = 3191515500

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Least Common Multiple of 56487 and 56500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56487 and 56500, than apply into the LCM equation.

GCF(56487,56500) = 1
LCM(56487,56500) = ( 56487 × 56500) / 1
LCM(56487,56500) = 3191515500 / 1
LCM(56487,56500) = 3191515500

Least Common Multiple (LCM) of 56487 and 56500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56487 and 56500. First we will calculate the prime factors of 56487 and 56500.

Prime Factorization of 56487

Prime factors of 56487 are 3, 19, 991. Prime factorization of 56487 in exponential form is:

56487 = 31 × 191 × 9911

Prime Factorization of 56500

Prime factors of 56500 are 2, 5, 113. Prime factorization of 56500 in exponential form is:

56500 = 22 × 53 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 56487 and 56500.

LCM(56487,56500) = 31 × 191 × 9911 × 22 × 53 × 1131
LCM(56487,56500) = 3191515500