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What is the Least Common Multiple of 8388 and 8408?

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 8388 and 8408 is 17631576.

LCM(8388,8408) = 17631576

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Least Common Multiple of 8388 and 8408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8388 and 8408, than apply into the LCM equation.

GCF(8388,8408) = 4
LCM(8388,8408) = ( 8388 × 8408) / 4
LCM(8388,8408) = 70526304 / 4
LCM(8388,8408) = 17631576

Least Common Multiple (LCM) of 8388 and 8408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8388 and 8408. First we will calculate the prime factors of 8388 and 8408.

Prime Factorization of 8388

Prime factors of 8388 are 2, 3, 233. Prime factorization of 8388 in exponential form is:

8388 = 22 × 32 × 2331

Prime Factorization of 8408

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

8408 = 23 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 8388 and 8408.

LCM(8388,8408) = 23 × 32 × 2331 × 10511
LCM(8388,8408) = 17631576