Least Common Multiple of 4839 and 4846

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 4846 the smallest integer that is 23449794 that is divisible by both numbers.

Least Common Multiple (LCM) of 4839 and 4846 is 23449794.

LCM(4839,4846) = 23449794

LCM of 4839 and 4846

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

LCM of:
and

Least Common Multiple of 4839 and 4846

LCM of 4839 and 4846 is 23449794

Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4846. First we will calculate the prime factors of 4839 and 4846.

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 4846


2 4846
2423 2423
1

Prime factors of 4846 are 2,2423. Prime factorization of 4846 in exponential form is:

4846 = 21×24231

Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4846.

LCM(4839,4846) = 21×31×16131×24231
LCM(4839,4846) = 23449794

Factors of 4839

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

1, 3, 1613, 4839

Factors of 4846

List of positive integer factors of 4846 that divides 4846 without a remainder.

1, 2, 2423, 4846

Least Common Multiple of 4839 and 4846 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 4846, than apply into the LCM equation.

GCF(4839,4846) = 1
LCM(4839,4846) = ( 4839 × 4846) / 1
LCM(4839,4846) = 23449794 / 1
LCM(4839,4846) = 23449794

Properties of LCM 4839 and 4846

(i) The LCM of 4846 and 4839 is associative

LCM of 4839 and 4846 = LCM of 4846 and 4839

Related Least Common Multiples of 4839

Related Least Common Multiples of 4846

Frequently Asked Questions on LCM of 4839 and 4846

1. What is the LCM of 4839 and 4846?

Answer: LCM of 4839 and 4846 is 23449794.

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 4846?

Answer: Factors of 4846 are 1, 2, 2423, 4846. There are 4 integers that are factors of 4846. The greatest factor of 4846 is 4846.

4. How to Find the LCM of 4839 and 4846?

Answer:

Least Common Multiple of 4839 and 4846 = 23449794

Step 1: Find the prime factorization of 4839

4839 = 3 x 1613

Step 2: Find the prime factorization of 4846

4846 = 2 x 2423

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

LCM = 23449794 = 2 x 3 x 1613 x 2423

Step 4: Therefore, the least common multiple of 4839 and 4846 is 23449794.