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What is the Least Common Multiple of 87387 and 87394?

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 87394 is 7637099478.

LCM(87387,87394) = 7637099478

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Least Common Multiple of 87387 and 87394 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 87394, than apply into the LCM equation.

GCF(87387,87394) = 1
LCM(87387,87394) = ( 87387 × 87394) / 1
LCM(87387,87394) = 7637099478 / 1
LCM(87387,87394) = 7637099478

Least Common Multiple (LCM) of 87387 and 87394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87387 and 87394. First we will calculate the prime factors of 87387 and 87394.

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 87394

Prime factors of 87394 are 2, 37, 1181. Prime factorization of 87394 in exponential form is:

87394 = 21 × 371 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 87387 and 87394.

LCM(87387,87394) = 31 × 291291 × 21 × 371 × 11811
LCM(87387,87394) = 7637099478