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What is the Least Common Multiple of 87539 and 87555?

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 87539 and 87555 is 7664477145.

LCM(87539,87555) = 7664477145

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Least Common Multiple of 87539 and 87555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87539 and 87555, than apply into the LCM equation.

GCF(87539,87555) = 1
LCM(87539,87555) = ( 87539 × 87555) / 1
LCM(87539,87555) = 7664477145 / 1
LCM(87539,87555) = 7664477145

Least Common Multiple (LCM) of 87539 and 87555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87539 and 87555. First we will calculate the prime factors of 87539 and 87555.

Prime Factorization of 87539

Prime factors of 87539 are 87539. Prime factorization of 87539 in exponential form is:

87539 = 875391

Prime Factorization of 87555

Prime factors of 87555 are 3, 5, 13, 449. Prime factorization of 87555 in exponential form is:

87555 = 31 × 51 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 87539 and 87555.

LCM(87539,87555) = 875391 × 31 × 51 × 131 × 4491
LCM(87539,87555) = 7664477145