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What is the Least Common Multiple of 11380 and 11384?

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 11380 and 11384 is 32387480.

LCM(11380,11384) = 32387480

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Least Common Multiple of 11380 and 11384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11380 and 11384, than apply into the LCM equation.

GCF(11380,11384) = 4
LCM(11380,11384) = ( 11380 × 11384) / 4
LCM(11380,11384) = 129549920 / 4
LCM(11380,11384) = 32387480

Least Common Multiple (LCM) of 11380 and 11384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11380 and 11384. First we will calculate the prime factors of 11380 and 11384.

Prime Factorization of 11380

Prime factors of 11380 are 2, 5, 569. Prime factorization of 11380 in exponential form is:

11380 = 22 × 51 × 5691

Prime Factorization of 11384

Prime factors of 11384 are 2, 1423. Prime factorization of 11384 in exponential form is:

11384 = 23 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 11380 and 11384.

LCM(11380,11384) = 23 × 51 × 5691 × 14231
LCM(11380,11384) = 32387480