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What is the Least Common Multiple of 4823 and 4830?

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 4830 is 3327870.

LCM(4823,4830) = 3327870

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Least Common Multiple of 4823 and 4830 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 4830, than apply into the LCM equation.

GCF(4823,4830) = 7
LCM(4823,4830) = ( 4823 × 4830) / 7
LCM(4823,4830) = 23295090 / 7
LCM(4823,4830) = 3327870

Least Common Multiple (LCM) of 4823 and 4830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4830. First we will calculate the prime factors of 4823 and 4830.

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 4830

Prime factors of 4830 are 2, 3, 5, 7, 23. Prime factorization of 4830 in exponential form is:

4830 = 21 × 31 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4830.

LCM(4823,4830) = 71 × 131 × 531 × 21 × 31 × 51 × 231
LCM(4823,4830) = 3327870