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What is the Least Common Multiple of 8408 and 8412?

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 8408 and 8412 is 17682024.

LCM(8408,8412) = 17682024

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Least Common Multiple of 8408 and 8412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8408 and 8412, than apply into the LCM equation.

GCF(8408,8412) = 4
LCM(8408,8412) = ( 8408 × 8412) / 4
LCM(8408,8412) = 70728096 / 4
LCM(8408,8412) = 17682024

Least Common Multiple (LCM) of 8408 and 8412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8408 and 8412. First we will calculate the prime factors of 8408 and 8412.

Prime Factorization of 8408

Prime factors of 8408 are 2, 1051. Prime factorization of 8408 in exponential form is:

8408 = 23 × 10511

Prime Factorization of 8412

Prime factors of 8412 are 2, 3, 701. Prime factorization of 8412 in exponential form is:

8412 = 22 × 31 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 8408 and 8412.

LCM(8408,8412) = 23 × 10511 × 31 × 7011
LCM(8408,8412) = 17682024