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What is the Least Common Multiple of 4817 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 4817 and 4823 is 23232391.

LCM(4817,4823) = 23232391

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Least Common Multiple of 4817 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 4817 and 4823, than apply into the LCM equation.

GCF(4817,4823) = 1
LCM(4817,4823) = ( 4817 × 4823) / 1
LCM(4817,4823) = 23232391 / 1
LCM(4817,4823) = 23232391

Least Common Multiple (LCM) of 4817 and 4823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4817 and 4823. First we will calculate the prime factors of 4817 and 4823.

Prime Factorization of 4817

Prime factors of 4817 are 4817. Prime factorization of 4817 in exponential form is:

4817 = 48171

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 4817 and 4823.

LCM(4817,4823) = 48171 × 71 × 131 × 531
LCM(4817,4823) = 23232391