Least Common Multiple of 4839 and 4843

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 4843 the smallest integer that is 23435277 that is divisible by both numbers.

Least Common Multiple (LCM) of 4839 and 4843 is 23435277.

LCM(4839,4843) = 23435277

LCM of 4839 and 4843

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

LCM of:
and

Least Common Multiple of 4839 and 4843

LCM of 4839 and 4843 is 23435277

Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4843. First we will calculate the prime factors of 4839 and 4843.

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 4843


29 4843
167 167
1

Prime factors of 4843 are 29,167. Prime factorization of 4843 in exponential form is:

4843 = 291×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4843.

LCM(4839,4843) = 31×291×1671×16131
LCM(4839,4843) = 23435277

Factors of 4839

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

1, 3, 1613, 4839

Factors of 4843

List of positive integer factors of 4843 that divides 4843 without a remainder.

1, 29, 167, 4843

Least Common Multiple of 4839 and 4843 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 4843, than apply into the LCM equation.

GCF(4839,4843) = 1
LCM(4839,4843) = ( 4839 × 4843) / 1
LCM(4839,4843) = 23435277 / 1
LCM(4839,4843) = 23435277

Properties of LCM 4839 and 4843

(i) The LCM of 4843 and 4839 is associative

LCM of 4839 and 4843 = LCM of 4843 and 4839

Related Least Common Multiples of 4839

Related Least Common Multiples of 4843

Frequently Asked Questions on LCM of 4839 and 4843

1. What is the LCM of 4839 and 4843?

Answer: LCM of 4839 and 4843 is 23435277.

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 4843?

Answer: Factors of 4843 are 1, 29, 167, 4843. There are 4 integers that are factors of 4843. The greatest factor of 4843 is 4843.

4. How to Find the LCM of 4839 and 4843?

Answer:

Least Common Multiple of 4839 and 4843 = 23435277

Step 1: Find the prime factorization of 4839

4839 = 3 x 1613

Step 2: Find the prime factorization of 4843

4843 = 29 x 167

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

LCM = 23435277 = 3 x 29 x 167 x 1613

Step 4: Therefore, the least common multiple of 4839 and 4843 is 23435277.