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What is the Least Common Multiple of 8368 and 8384?

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 8368 and 8384 is 4384832.

LCM(8368,8384) = 4384832

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Least Common Multiple of 8368 and 8384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8368 and 8384, than apply into the LCM equation.

GCF(8368,8384) = 16
LCM(8368,8384) = ( 8368 × 8384) / 16
LCM(8368,8384) = 70157312 / 16
LCM(8368,8384) = 4384832

Least Common Multiple (LCM) of 8368 and 8384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8368 and 8384. First we will calculate the prime factors of 8368 and 8384.

Prime Factorization of 8368

Prime factors of 8368 are 2, 523. Prime factorization of 8368 in exponential form is:

8368 = 24 × 5231

Prime Factorization of 8384

Prime factors of 8384 are 2, 131. Prime factorization of 8384 in exponential form is:

8384 = 26 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8368 and 8384.

LCM(8368,8384) = 26 × 5231 × 1311
LCM(8368,8384) = 4384832