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What is the Least Common Multiple of 10384 and 10392?

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 10384 and 10392 is 13488816.

LCM(10384,10392) = 13488816

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Least Common Multiple of 10384 and 10392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10384 and 10392, than apply into the LCM equation.

GCF(10384,10392) = 8
LCM(10384,10392) = ( 10384 × 10392) / 8
LCM(10384,10392) = 107910528 / 8
LCM(10384,10392) = 13488816

Least Common Multiple (LCM) of 10384 and 10392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10384 and 10392. First we will calculate the prime factors of 10384 and 10392.

Prime Factorization of 10384

Prime factors of 10384 are 2, 11, 59. Prime factorization of 10384 in exponential form is:

10384 = 24 × 111 × 591

Prime Factorization of 10392

Prime factors of 10392 are 2, 3, 433. Prime factorization of 10392 in exponential form is:

10392 = 23 × 31 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 10384 and 10392.

LCM(10384,10392) = 24 × 111 × 591 × 31 × 4331
LCM(10384,10392) = 13488816