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What is the Least Common Multiple of 87487 and 87506?

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 87487 and 87506 is 7655637422.

LCM(87487,87506) = 7655637422

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Least Common Multiple of 87487 and 87506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87487 and 87506, than apply into the LCM equation.

GCF(87487,87506) = 1
LCM(87487,87506) = ( 87487 × 87506) / 1
LCM(87487,87506) = 7655637422 / 1
LCM(87487,87506) = 7655637422

Least Common Multiple (LCM) of 87487 and 87506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87487 and 87506. First we will calculate the prime factors of 87487 and 87506.

Prime Factorization of 87487

Prime factors of 87487 are 89, 983. Prime factorization of 87487 in exponential form is:

87487 = 891 × 9831

Prime Factorization of 87506

Prime factors of 87506 are 2, 43753. Prime factorization of 87506 in exponential form is:

87506 = 21 × 437531

Now multiplying the highest exponent prime factors to calculate the LCM of 87487 and 87506.

LCM(87487,87506) = 891 × 9831 × 21 × 437531
LCM(87487,87506) = 7655637422