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What is the Least Common Multiple of 8396 and 8409?

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 8396 and 8409 is 70601964.

LCM(8396,8409) = 70601964

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Least Common Multiple of 8396 and 8409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8396 and 8409, than apply into the LCM equation.

GCF(8396,8409) = 1
LCM(8396,8409) = ( 8396 × 8409) / 1
LCM(8396,8409) = 70601964 / 1
LCM(8396,8409) = 70601964

Least Common Multiple (LCM) of 8396 and 8409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8396 and 8409. First we will calculate the prime factors of 8396 and 8409.

Prime Factorization of 8396

Prime factors of 8396 are 2, 2099. Prime factorization of 8396 in exponential form is:

8396 = 22 × 20991

Prime Factorization of 8409

Prime factors of 8409 are 3, 2803. Prime factorization of 8409 in exponential form is:

8409 = 31 × 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 8396 and 8409.

LCM(8396,8409) = 22 × 20991 × 31 × 28031
LCM(8396,8409) = 70601964