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What is the Least Common Multiple of 1384 and 1394?

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 1394 is 964648.

LCM(1384,1394) = 964648

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Least Common Multiple of 1384 and 1394 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 1394, than apply into the LCM equation.

GCF(1384,1394) = 2
LCM(1384,1394) = ( 1384 × 1394) / 2
LCM(1384,1394) = 1929296 / 2
LCM(1384,1394) = 964648

Least Common Multiple (LCM) of 1384 and 1394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1384 and 1394. First we will calculate the prime factors of 1384 and 1394.

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 1394

Prime factors of 1394 are 2, 17, 41. Prime factorization of 1394 in exponential form is:

1394 = 21 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1384 and 1394.

LCM(1384,1394) = 23 × 1731 × 171 × 411
LCM(1384,1394) = 964648