Least Common Multiple of 4839 and 4840

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 4840 the smallest integer that is 23420760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4839 and 4840 is 23420760.

LCM(4839,4840) = 23420760

LCM of 4839 and 4840

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

LCM of:
and

Least Common Multiple of 4839 and 4840

LCM of 4839 and 4840 is 23420760

Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4840. First we will calculate the prime factors of 4839 and 4840.

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 4840


2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 4840 are 2, 5,11. Prime factorization of 4840 in exponential form is:

4840 = 23×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4840.

LCM(4839,4840) = 23×31×51×112×16131
LCM(4839,4840) = 23420760

Factors of 4839

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

1, 3, 1613, 4839

Factors of 4840

List of positive integer factors of 4840 that divides 4840 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840

Least Common Multiple of 4839 and 4840 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 4840, than apply into the LCM equation.

GCF(4839,4840) = 1
LCM(4839,4840) = ( 4839 × 4840) / 1
LCM(4839,4840) = 23420760 / 1
LCM(4839,4840) = 23420760

Properties of LCM 4839 and 4840

(i) The LCM of 4840 and 4839 is associative

LCM of 4839 and 4840 = LCM of 4840 and 4839

Related Least Common Multiples of 4839

Related Least Common Multiples of 4840

Frequently Asked Questions on LCM of 4839 and 4840

1. What is the LCM of 4839 and 4840?

Answer: LCM of 4839 and 4840 is 23420760.

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 4840?

Answer: Factors of 4840 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840. There are 24 integers that are factors of 4840. The greatest factor of 4840 is 4840.

4. How to Find the LCM of 4839 and 4840?

Answer:

Least Common Multiple of 4839 and 4840 = 23420760

Step 1: Find the prime factorization of 4839

4839 = 3 x 1613

Step 2: Find the prime factorization of 4840

4840 = 2 x 2 x 2 x 5 x 11 x 11

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

LCM = 23420760 = 2 x 2 x 2 x 3 x 5 x 11 x 11 x 1613

Step 4: Therefore, the least common multiple of 4839 and 4840 is 23420760.