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What is the Least Common Multiple of 8411 and 8421?

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 8411 and 8421 is 70829031.

LCM(8411,8421) = 70829031

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Least Common Multiple of 8411 and 8421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8411 and 8421, than apply into the LCM equation.

GCF(8411,8421) = 1
LCM(8411,8421) = ( 8411 × 8421) / 1
LCM(8411,8421) = 70829031 / 1
LCM(8411,8421) = 70829031

Least Common Multiple (LCM) of 8411 and 8421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8411 and 8421. First we will calculate the prime factors of 8411 and 8421.

Prime Factorization of 8411

Prime factors of 8411 are 13, 647. Prime factorization of 8411 in exponential form is:

8411 = 131 × 6471

Prime Factorization of 8421

Prime factors of 8421 are 3, 7, 401. Prime factorization of 8421 in exponential form is:

8421 = 31 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 8411 and 8421.

LCM(8411,8421) = 131 × 6471 × 31 × 71 × 4011
LCM(8411,8421) = 70829031