Least Common Multiple of 4831 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 4831 and 4839 the smallest integer that is 23377209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4831 and 4839 is 23377209.

LCM(4831,4839) = 23377209

LCM of 4831 and 4839

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

LCM of:
and

Least Common Multiple of 4831 and 4839

LCM of 4831 and 4839 is 23377209

Least common multiple can be found by multiplying the highest exponent prime factors of 4831 and 4839. First we will calculate the prime factors of 4831 and 4839.

Prime Factorization of 4831


4831 4831
1

Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:

4831 = 48311

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 4831 and 4839.

LCM(4831,4839) = 31×16131×48311
LCM(4831,4839) = 23377209

Factors of 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1, 4831

Factors of 4839

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

1, 3, 1613, 4839

Least Common Multiple of 4831 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 4831 and 4839, than apply into the LCM equation.

GCF(4831,4839) = 1
LCM(4831,4839) = ( 4831 × 4839) / 1
LCM(4831,4839) = 23377209 / 1
LCM(4831,4839) = 23377209

Properties of LCM 4831 and 4839

(i) The LCM of 4839 and 4831 is associative

LCM of 4831 and 4839 = LCM of 4839 and 4831

Related Least Common Multiples of 4831

Related Least Common Multiples of 4839

Frequently Asked Questions on LCM of 4831 and 4839

1. What is the LCM of 4831 and 4839?

Answer: LCM of 4831 and 4839 is 23377209.

2. What are the Factors of 4831?

Answer: Factors of 4831 are 1, 4831. There are 2 integers that are factors of 4831. The greatest factor of 4831 is 4831.

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 4831 and 4839?

Answer:

Least Common Multiple of 4831 and 4839 = 23377209

Step 1: Find the prime factorization of 4831

4831 = 4831

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 = 23377209 = 3 x 1613 x 4831

Step 4: Therefore, the least common multiple of 4831 and 4839 is 23377209.