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What is the Least Common Multiple of 4823 and 4833?

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 4823 and 4833 is 23309559.

LCM(4823,4833) = 23309559

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Least Common Multiple of 4823 and 4833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4823 and 4833, than apply into the LCM equation.

GCF(4823,4833) = 1
LCM(4823,4833) = ( 4823 × 4833) / 1
LCM(4823,4833) = 23309559 / 1
LCM(4823,4833) = 23309559

Least Common Multiple (LCM) of 4823 and 4833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4833. First we will calculate the prime factors of 4823 and 4833.

Prime Factorization of 4823

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

4823 = 71 × 131 × 531

Prime Factorization of 4833

Prime factors of 4833 are 3, 179. Prime factorization of 4833 in exponential form is:

4833 = 33 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4833.

LCM(4823,4833) = 71 × 131 × 531 × 33 × 1791
LCM(4823,4833) = 23309559