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What is the Least Common Multiple of 4834 and 4839?

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 4834 and 4839 is 23391726.

LCM(4834,4839) = 23391726

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Least Common Multiple of 4834 and 4839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4834 and 4839, than apply into the LCM equation.

GCF(4834,4839) = 1
LCM(4834,4839) = ( 4834 × 4839) / 1
LCM(4834,4839) = 23391726 / 1
LCM(4834,4839) = 23391726

Least Common Multiple (LCM) of 4834 and 4839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4834 and 4839. First we will calculate the prime factors of 4834 and 4839.

Prime Factorization of 4834

Prime factors of 4834 are 2, 2417. Prime factorization of 4834 in exponential form is:

4834 = 21 × 24171

Prime Factorization of 4839

Prime factors of 4839 are 3, 1613. Prime factorization of 4839 in exponential form is:

4839 = 31 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 4834 and 4839.

LCM(4834,4839) = 21 × 24171 × 31 × 16131
LCM(4834,4839) = 23391726