Least Common Multiple of 4828 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 4828 and 4834 the smallest integer that is 11669276 that is divisible by both numbers.

Least Common Multiple (LCM) of 4828 and 4834 is 11669276.

LCM(4828,4834) = 11669276

LCM of 4828 and 4834

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

LCM of:
and

Least Common Multiple of 4828 and 4834

LCM of 4828 and 4834 is 11669276

Least common multiple can be found by multiplying the highest exponent prime factors of 4828 and 4834. First we will calculate the prime factors of 4828 and 4834.

Prime Factorization of 4828


2 4828
2 2414
17 1207
71 71
1

Prime factors of 4828 are 2, 17,71. Prime factorization of 4828 in exponential form is:

4828 = 22×171×711

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 4828 and 4834.

LCM(4828,4834) = 22×171×711×24171
LCM(4828,4834) = 11669276

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828

Factors of 4834

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

1, 2, 2417, 4834

Least Common Multiple of 4828 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 4828 and 4834, than apply into the LCM equation.

GCF(4828,4834) = 2
LCM(4828,4834) = ( 4828 × 4834) / 2
LCM(4828,4834) = 23338552 / 2
LCM(4828,4834) = 11669276

Properties of LCM 4828 and 4834

(i) The LCM of 4834 and 4828 is associative

LCM of 4828 and 4834 = LCM of 4834 and 4828

Related Least Common Multiples of 4828

Related Least Common Multiples of 4834

Frequently Asked Questions on LCM of 4828 and 4834

1. What is the LCM of 4828 and 4834?

Answer: LCM of 4828 and 4834 is 11669276.

2. What are the Factors of 4828?

Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.

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 4828 and 4834?

Answer:

Least Common Multiple of 4828 and 4834 = 11669276

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

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 = 11669276 = 2 x 2 x 17 x 71 x 2417

Step 4: Therefore, the least common multiple of 4828 and 4834 is 11669276.