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What is the Least Common Multiple of 87557 and 87575?

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 87557 and 87575 is 7667804275.

LCM(87557,87575) = 7667804275

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Least Common Multiple of 87557 and 87575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87557 and 87575, than apply into the LCM equation.

GCF(87557,87575) = 1
LCM(87557,87575) = ( 87557 × 87575) / 1
LCM(87557,87575) = 7667804275 / 1
LCM(87557,87575) = 7667804275

Least Common Multiple (LCM) of 87557 and 87575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87557 and 87575. First we will calculate the prime factors of 87557 and 87575.

Prime Factorization of 87557

Prime factors of 87557 are 87557. Prime factorization of 87557 in exponential form is:

87557 = 875571

Prime Factorization of 87575

Prime factors of 87575 are 5, 31, 113. Prime factorization of 87575 in exponential form is:

87575 = 52 × 311 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 87557 and 87575.

LCM(87557,87575) = 875571 × 52 × 311 × 1131
LCM(87557,87575) = 7667804275