Least Common Multiple of 4832 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 4832 and 4839 the smallest integer that is 23382048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4832 and 4839 is 23382048.

LCM(4832,4839) = 23382048

LCM of 4832 and 4839

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

LCM of:
and

Least Common Multiple of 4832 and 4839

LCM of 4832 and 4839 is 23382048

Least common multiple can be found by multiplying the highest exponent prime factors of 4832 and 4839. First we will calculate the prime factors of 4832 and 4839.

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

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 4832 and 4839.

LCM(4832,4839) = 25×31×1511×16131
LCM(4832,4839) = 23382048

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

Factors of 4839

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

1, 3, 1613, 4839

Least Common Multiple of 4832 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 4832 and 4839, than apply into the LCM equation.

GCF(4832,4839) = 1
LCM(4832,4839) = ( 4832 × 4839) / 1
LCM(4832,4839) = 23382048 / 1
LCM(4832,4839) = 23382048

Properties of LCM 4832 and 4839

(i) The LCM of 4839 and 4832 is associative

LCM of 4832 and 4839 = LCM of 4839 and 4832

Related Least Common Multiples of 4832

Related Least Common Multiples of 4839

Frequently Asked Questions on LCM of 4832 and 4839

1. What is the LCM of 4832 and 4839?

Answer: LCM of 4832 and 4839 is 23382048.

2. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

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 4832 and 4839?

Answer:

Least Common Multiple of 4832 and 4839 = 23382048

Step 1: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

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 = 23382048 = 2 x 2 x 2 x 2 x 2 x 3 x 151 x 1613

Step 4: Therefore, the least common multiple of 4832 and 4839 is 23382048.