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What is the Least Common Multiple of 8379 and 8392?

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 8379 and 8392 is 70316568.

LCM(8379,8392) = 70316568

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Least Common Multiple of 8379 and 8392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8379 and 8392, than apply into the LCM equation.

GCF(8379,8392) = 1
LCM(8379,8392) = ( 8379 × 8392) / 1
LCM(8379,8392) = 70316568 / 1
LCM(8379,8392) = 70316568

Least Common Multiple (LCM) of 8379 and 8392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8379 and 8392. First we will calculate the prime factors of 8379 and 8392.

Prime Factorization of 8379

Prime factors of 8379 are 3, 7, 19. Prime factorization of 8379 in exponential form is:

8379 = 32 × 72 × 191

Prime Factorization of 8392

Prime factors of 8392 are 2, 1049. Prime factorization of 8392 in exponential form is:

8392 = 23 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 8379 and 8392.

LCM(8379,8392) = 32 × 72 × 191 × 23 × 10491
LCM(8379,8392) = 70316568