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What is the Least Common Multiple of 87387 and 87395?

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 87387 and 87395 is 7637186865.

LCM(87387,87395) = 7637186865

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Least Common Multiple of 87387 and 87395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87387 and 87395, than apply into the LCM equation.

GCF(87387,87395) = 1
LCM(87387,87395) = ( 87387 × 87395) / 1
LCM(87387,87395) = 7637186865 / 1
LCM(87387,87395) = 7637186865

Least Common Multiple (LCM) of 87387 and 87395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87387 and 87395. First we will calculate the prime factors of 87387 and 87395.

Prime Factorization of 87387

Prime factors of 87387 are 3, 29129. Prime factorization of 87387 in exponential form is:

87387 = 31 × 291291

Prime Factorization of 87395

Prime factors of 87395 are 5, 7, 11, 227. Prime factorization of 87395 in exponential form is:

87395 = 51 × 71 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 87387 and 87395.

LCM(87387,87395) = 31 × 291291 × 51 × 71 × 111 × 2271
LCM(87387,87395) = 7637186865