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What is the Least Common Multiple of 11776 and 11784?

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 11776 and 11784 is 17346048.

LCM(11776,11784) = 17346048

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Least Common Multiple of 11776 and 11784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11776 and 11784, than apply into the LCM equation.

GCF(11776,11784) = 8
LCM(11776,11784) = ( 11776 × 11784) / 8
LCM(11776,11784) = 138768384 / 8
LCM(11776,11784) = 17346048

Least Common Multiple (LCM) of 11776 and 11784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11776 and 11784. First we will calculate the prime factors of 11776 and 11784.

Prime Factorization of 11776

Prime factors of 11776 are 2, 23. Prime factorization of 11776 in exponential form is:

11776 = 29 × 231

Prime Factorization of 11784

Prime factors of 11784 are 2, 3, 491. Prime factorization of 11784 in exponential form is:

11784 = 23 × 31 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 11776 and 11784.

LCM(11776,11784) = 29 × 231 × 31 × 4911
LCM(11776,11784) = 17346048