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What is the Least Common Multiple of 4816 and 4823?

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 4816 and 4823 is 3318224.

LCM(4816,4823) = 3318224

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Least Common Multiple of 4816 and 4823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4816 and 4823, than apply into the LCM equation.

GCF(4816,4823) = 7
LCM(4816,4823) = ( 4816 × 4823) / 7
LCM(4816,4823) = 23227568 / 7
LCM(4816,4823) = 3318224

Least Common Multiple (LCM) of 4816 and 4823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4816 and 4823. First we will calculate the prime factors of 4816 and 4823.

Prime Factorization of 4816

Prime factors of 4816 are 2, 7, 43. Prime factorization of 4816 in exponential form is:

4816 = 24 × 71 × 431

Prime Factorization of 4823

Prime factors of 4823 are 7, 13, 53. Prime factorization of 4823 in exponential form is:

4823 = 71 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4816 and 4823.

LCM(4816,4823) = 24 × 71 × 431 × 131 × 531
LCM(4816,4823) = 3318224