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What is the Least Common Multiple of 10771 and 10784?

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 10771 and 10784 is 116154464.

LCM(10771,10784) = 116154464

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Least Common Multiple of 10771 and 10784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10771 and 10784, than apply into the LCM equation.

GCF(10771,10784) = 1
LCM(10771,10784) = ( 10771 × 10784) / 1
LCM(10771,10784) = 116154464 / 1
LCM(10771,10784) = 116154464

Least Common Multiple (LCM) of 10771 and 10784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10771 and 10784. First we will calculate the prime factors of 10771 and 10784.

Prime Factorization of 10771

Prime factors of 10771 are 10771. Prime factorization of 10771 in exponential form is:

10771 = 107711

Prime Factorization of 10784

Prime factors of 10784 are 2, 337. Prime factorization of 10784 in exponential form is:

10784 = 25 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 10771 and 10784.

LCM(10771,10784) = 107711 × 25 × 3371
LCM(10771,10784) = 116154464