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What is the Least Common Multiple of 4803 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 4803 and 4823 is 23164869.

LCM(4803,4823) = 23164869

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Least Common Multiple of 4803 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 4803 and 4823, than apply into the LCM equation.

GCF(4803,4823) = 1
LCM(4803,4823) = ( 4803 × 4823) / 1
LCM(4803,4823) = 23164869 / 1
LCM(4803,4823) = 23164869

Least Common Multiple (LCM) of 4803 and 4823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4803 and 4823. First we will calculate the prime factors of 4803 and 4823.

Prime Factorization of 4803

Prime factors of 4803 are 3, 1601. Prime factorization of 4803 in exponential form is:

4803 = 31 × 16011

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 4803 and 4823.

LCM(4803,4823) = 31 × 16011 × 71 × 131 × 531
LCM(4803,4823) = 23164869