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What is the Least Common Multiple of 87687 and 87691?

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 87687 and 87691 is 7689360717.

LCM(87687,87691) = 7689360717

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Least Common Multiple of 87687 and 87691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87687 and 87691, than apply into the LCM equation.

GCF(87687,87691) = 1
LCM(87687,87691) = ( 87687 × 87691) / 1
LCM(87687,87691) = 7689360717 / 1
LCM(87687,87691) = 7689360717

Least Common Multiple (LCM) of 87687 and 87691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87687 and 87691. First we will calculate the prime factors of 87687 and 87691.

Prime Factorization of 87687

Prime factors of 87687 are 3, 9743. Prime factorization of 87687 in exponential form is:

87687 = 32 × 97431

Prime Factorization of 87691

Prime factors of 87691 are 87691. Prime factorization of 87691 in exponential form is:

87691 = 876911

Now multiplying the highest exponent prime factors to calculate the LCM of 87687 and 87691.

LCM(87687,87691) = 32 × 97431 × 876911
LCM(87687,87691) = 7689360717