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What is the Least Common Multiple of 4771 and 4784?

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 4771 and 4784 is 1755728.

LCM(4771,4784) = 1755728

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Least Common Multiple of 4771 and 4784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4771 and 4784, than apply into the LCM equation.

GCF(4771,4784) = 13
LCM(4771,4784) = ( 4771 × 4784) / 13
LCM(4771,4784) = 22824464 / 13
LCM(4771,4784) = 1755728

Least Common Multiple (LCM) of 4771 and 4784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4771 and 4784. First we will calculate the prime factors of 4771 and 4784.

Prime Factorization of 4771

Prime factors of 4771 are 13, 367. Prime factorization of 4771 in exponential form is:

4771 = 131 × 3671

Prime Factorization of 4784

Prime factors of 4784 are 2, 13, 23. Prime factorization of 4784 in exponential form is:

4784 = 24 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4771 and 4784.

LCM(4771,4784) = 131 × 3671 × 24 × 231
LCM(4771,4784) = 1755728