Least Common Multiple of 4834 and 4838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4834 and 4838 the smallest integer that is 11693446 that is divisible by both numbers.

Least Common Multiple (LCM) of 4834 and 4838 is 11693446.

LCM(4834,4838) = 11693446

LCM of 4834 and 4838

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

LCM of:
and

Least Common Multiple of 4834 and 4838

LCM of 4834 and 4838 is 11693446

Least common multiple can be found by multiplying the highest exponent prime factors of 4834 and 4838. First we will calculate the prime factors of 4834 and 4838.

Prime Factorization of 4834


2 4834
2417 2417
1

Prime factors of 4834 are 2,2417. Prime factorization of 4834 in exponential form is:

4834 = 21×24171

Prime Factorization of 4838


2 4838
41 2419
59 59
1

Prime factors of 4838 are 2, 41,59. Prime factorization of 4838 in exponential form is:

4838 = 21×411×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4834 and 4838.

LCM(4834,4838) = 21×411×591×24171
LCM(4834,4838) = 11693446

Factors of 4834

List of positive integer factors of 4834 that divides 4834 without a remainder.

1, 2, 2417, 4834

Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1, 2, 41, 59, 82, 118, 2419, 4838

Least Common Multiple of 4834 and 4838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4834 and 4838, than apply into the LCM equation.

GCF(4834,4838) = 2
LCM(4834,4838) = ( 4834 × 4838) / 2
LCM(4834,4838) = 23386892 / 2
LCM(4834,4838) = 11693446

Properties of LCM 4834 and 4838

(i) The LCM of 4838 and 4834 is associative

LCM of 4834 and 4838 = LCM of 4838 and 4834

Related Least Common Multiples of 4834

Related Least Common Multiples of 4838

Frequently Asked Questions on LCM of 4834 and 4838

1. What is the LCM of 4834 and 4838?

Answer: LCM of 4834 and 4838 is 11693446.

2. What are the Factors of 4834?

Answer: Factors of 4834 are 1, 2, 2417, 4834. There are 4 integers that are factors of 4834. The greatest factor of 4834 is 4834.

3. What are the Factors of 4838?

Answer: Factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838. There are 8 integers that are factors of 4838. The greatest factor of 4838 is 4838.

4. How to Find the LCM of 4834 and 4838?

Answer:

Least Common Multiple of 4834 and 4838 = 11693446

Step 1: Find the prime factorization of 4834

4834 = 2 x 2417

Step 2: Find the prime factorization of 4838

4838 = 2 x 41 x 59

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

LCM = 11693446 = 2 x 41 x 59 x 2417

Step 4: Therefore, the least common multiple of 4834 and 4838 is 11693446.