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What is the Least Common Multiple of 75387 and 75394?

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 75387 and 75394 is 5683727478.

LCM(75387,75394) = 5683727478

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Least Common Multiple of 75387 and 75394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75387 and 75394, than apply into the LCM equation.

GCF(75387,75394) = 1
LCM(75387,75394) = ( 75387 × 75394) / 1
LCM(75387,75394) = 5683727478 / 1
LCM(75387,75394) = 5683727478

Least Common Multiple (LCM) of 75387 and 75394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75387 and 75394. First we will calculate the prime factors of 75387 and 75394.

Prime Factorization of 75387

Prime factors of 75387 are 3, 13, 1933. Prime factorization of 75387 in exponential form is:

75387 = 31 × 131 × 19331

Prime Factorization of 75394

Prime factors of 75394 are 2, 11, 23, 149. Prime factorization of 75394 in exponential form is:

75394 = 21 × 111 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 75387 and 75394.

LCM(75387,75394) = 31 × 131 × 19331 × 21 × 111 × 231 × 1491
LCM(75387,75394) = 5683727478