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What is the Least Common Multiple of 6380 and 6384?

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 6380 and 6384 is 10182480.

LCM(6380,6384) = 10182480

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Least Common Multiple of 6380 and 6384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6380 and 6384, than apply into the LCM equation.

GCF(6380,6384) = 4
LCM(6380,6384) = ( 6380 × 6384) / 4
LCM(6380,6384) = 40729920 / 4
LCM(6380,6384) = 10182480

Least Common Multiple (LCM) of 6380 and 6384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6380 and 6384. First we will calculate the prime factors of 6380 and 6384.

Prime Factorization of 6380

Prime factors of 6380 are 2, 5, 11, 29. Prime factorization of 6380 in exponential form is:

6380 = 22 × 51 × 111 × 291

Prime Factorization of 6384

Prime factors of 6384 are 2, 3, 7, 19. Prime factorization of 6384 in exponential form is:

6384 = 24 × 31 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6380 and 6384.

LCM(6380,6384) = 24 × 51 × 111 × 291 × 31 × 71 × 191
LCM(6380,6384) = 10182480