Least Common Multiple of 4834 and 4839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4834 and 4839 the smallest integer that is 23391726 that is divisible by both numbers.

Least Common Multiple (LCM) of 4834 and 4839 is 23391726.

LCM(4834,4839) = 23391726

LCM of 4834 and 4839

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4834 and 4839

LCM of 4834 and 4839 is 23391726

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


2 4834
2417 2417
1

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

4834 = 21×24171

Prime Factorization of 4839


3 4839
1613 1613
1

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

Factors of 4834

List of positive integer factors of 4834 that divides 4834 without a remainder.

1, 2, 2417, 4834

Factors of 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1, 3, 1613, 4839

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

Properties of LCM 4834 and 4839

(i) The LCM of 4839 and 4834 is associative

LCM of 4834 and 4839 = LCM of 4839 and 4834

Related Least Common Multiples of 4834

Related Least Common Multiples of 4839

Frequently Asked Questions on LCM of 4834 and 4839

1. What is the LCM of 4834 and 4839?

Answer: LCM of 4834 and 4839 is 23391726.

2. What are the Factors of 4834?

Answer: Factors of 4834 are 1, 2, 2417, 4834. There are 4 integers that are factors of 4834. The greatest factor of 4834 is 4834.

3. What are the Factors of 4839?

Answer: Factors of 4839 are 1, 3, 1613, 4839. There are 4 integers that are factors of 4839. The greatest factor of 4839 is 4839.

4. How to Find the LCM of 4834 and 4839?

Answer:

Least Common Multiple of 4834 and 4839 = 23391726

Step 1: Find the prime factorization of 4834

4834 = 2 x 2417

Step 2: Find the prime factorization of 4839

4839 = 3 x 1613

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23391726 = 2 x 3 x 1613 x 2417

Step 4: Therefore, the least common multiple of 4834 and 4839 is 23391726.