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What is the Least Common Multiple of 8390 and 8397?

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 8390 and 8397 is 70450830.

LCM(8390,8397) = 70450830

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Least Common Multiple of 8390 and 8397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8390 and 8397, than apply into the LCM equation.

GCF(8390,8397) = 1
LCM(8390,8397) = ( 8390 × 8397) / 1
LCM(8390,8397) = 70450830 / 1
LCM(8390,8397) = 70450830

Least Common Multiple (LCM) of 8390 and 8397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8390 and 8397. First we will calculate the prime factors of 8390 and 8397.

Prime Factorization of 8390

Prime factors of 8390 are 2, 5, 839. Prime factorization of 8390 in exponential form is:

8390 = 21 × 51 × 8391

Prime Factorization of 8397

Prime factors of 8397 are 3, 311. Prime factorization of 8397 in exponential form is:

8397 = 33 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8390 and 8397.

LCM(8390,8397) = 21 × 51 × 8391 × 33 × 3111
LCM(8390,8397) = 70450830