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What is the Least Common Multiple of 4775 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 4775 and 4784 is 22843600.

LCM(4775,4784) = 22843600

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Least Common Multiple of 4775 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 4775 and 4784, than apply into the LCM equation.

GCF(4775,4784) = 1
LCM(4775,4784) = ( 4775 × 4784) / 1
LCM(4775,4784) = 22843600 / 1
LCM(4775,4784) = 22843600

Least Common Multiple (LCM) of 4775 and 4784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4775 and 4784. First we will calculate the prime factors of 4775 and 4784.

Prime Factorization of 4775

Prime factors of 4775 are 5, 191. Prime factorization of 4775 in exponential form is:

4775 = 52 × 1911

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 4775 and 4784.

LCM(4775,4784) = 52 × 1911 × 24 × 131 × 231
LCM(4775,4784) = 22843600