Least Common Multiple of 4839 and 4844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4839 and 4844 the smallest integer that is 23440116 that is divisible by both numbers.

Least Common Multiple (LCM) of 4839 and 4844 is 23440116.

LCM(4839,4844) = 23440116

LCM of 4839 and 4844

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

LCM of:
and

Least Common Multiple of 4839 and 4844

LCM of 4839 and 4844 is 23440116

Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4844. First we will calculate the prime factors of 4839 and 4844.

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

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4844.

LCM(4839,4844) = 22×31×71×1731×16131
LCM(4839,4844) = 23440116

Factors of 4839

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

1, 3, 1613, 4839

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

Least Common Multiple of 4839 and 4844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4839 and 4844, than apply into the LCM equation.

GCF(4839,4844) = 1
LCM(4839,4844) = ( 4839 × 4844) / 1
LCM(4839,4844) = 23440116 / 1
LCM(4839,4844) = 23440116

Properties of LCM 4839 and 4844

(i) The LCM of 4844 and 4839 is associative

LCM of 4839 and 4844 = LCM of 4844 and 4839

Related Least Common Multiples of 4839

Related Least Common Multiples of 4844

Frequently Asked Questions on LCM of 4839 and 4844

1. What is the LCM of 4839 and 4844?

Answer: LCM of 4839 and 4844 is 23440116.

2. 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.

3. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

4. How to Find the LCM of 4839 and 4844?

Answer:

Least Common Multiple of 4839 and 4844 = 23440116

Step 1: Find the prime factorization of 4839

4839 = 3 x 1613

Step 2: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

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

LCM = 23440116 = 2 x 2 x 3 x 7 x 173 x 1613

Step 4: Therefore, the least common multiple of 4839 and 4844 is 23440116.