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What is the Least Common Multiple of 1384 and 1388?

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 1384 and 1388 is 480248.

LCM(1384,1388) = 480248

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Least Common Multiple of 1384 and 1388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1384 and 1388, than apply into the LCM equation.

GCF(1384,1388) = 4
LCM(1384,1388) = ( 1384 × 1388) / 4
LCM(1384,1388) = 1920992 / 4
LCM(1384,1388) = 480248

Least Common Multiple (LCM) of 1384 and 1388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1384 and 1388. First we will calculate the prime factors of 1384 and 1388.

Prime Factorization of 1384

Prime factors of 1384 are 2, 173. Prime factorization of 1384 in exponential form is:

1384 = 23 × 1731

Prime Factorization of 1388

Prime factors of 1388 are 2, 347. Prime factorization of 1388 in exponential form is:

1388 = 22 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1384 and 1388.

LCM(1384,1388) = 23 × 1731 × 3471
LCM(1384,1388) = 480248