Least Common Multiple of 4829 and 4834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4829 and 4834 the smallest integer that is 23343386 that is divisible by both numbers.

Least Common Multiple (LCM) of 4829 and 4834 is 23343386.

LCM(4829,4834) = 23343386

LCM of 4829 and 4834

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

LCM of:
and

Least Common Multiple of 4829 and 4834

LCM of 4829 and 4834 is 23343386

Least common multiple can be found by multiplying the highest exponent prime factors of 4829 and 4834. First we will calculate the prime factors of 4829 and 4834.

Prime Factorization of 4829


11 4829
439 439
1

Prime factors of 4829 are 11,439. Prime factorization of 4829 in exponential form is:

4829 = 111×4391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4829 and 4834.

LCM(4829,4834) = 21×111×4391×24171
LCM(4829,4834) = 23343386

Factors of 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1, 11, 439, 4829

Factors of 4834

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

1, 2, 2417, 4834

Least Common Multiple of 4829 and 4834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4829 and 4834, than apply into the LCM equation.

GCF(4829,4834) = 1
LCM(4829,4834) = ( 4829 × 4834) / 1
LCM(4829,4834) = 23343386 / 1
LCM(4829,4834) = 23343386

Properties of LCM 4829 and 4834

(i) The LCM of 4834 and 4829 is associative

LCM of 4829 and 4834 = LCM of 4834 and 4829

Related Least Common Multiples of 4829

Related Least Common Multiples of 4834

Frequently Asked Questions on LCM of 4829 and 4834

1. What is the LCM of 4829 and 4834?

Answer: LCM of 4829 and 4834 is 23343386.

2. What are the Factors of 4829?

Answer: Factors of 4829 are 1, 11, 439, 4829. There are 4 integers that are factors of 4829. The greatest factor of 4829 is 4829.

3. 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.

4. How to Find the LCM of 4829 and 4834?

Answer:

Least Common Multiple of 4829 and 4834 = 23343386

Step 1: Find the prime factorization of 4829

4829 = 11 x 439

Step 2: Find the prime factorization of 4834

4834 = 2 x 2417

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

LCM = 23343386 = 2 x 11 x 439 x 2417

Step 4: Therefore, the least common multiple of 4829 and 4834 is 23343386.