Least Common Multiple of 4828 and 4833

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 4833 the smallest integer that is 23333724 that is divisible by both numbers.

Least Common Multiple (LCM) of 4828 and 4833 is 23333724.

LCM(4828,4833) = 23333724

LCM of 4828 and 4833

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

LCM of:
and

Least Common Multiple of 4828 and 4833

LCM of 4828 and 4833 is 23333724

Least common multiple can be found by multiplying the highest exponent prime factors of 4828 and 4833. First we will calculate the prime factors of 4828 and 4833.

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 4833


3 4833
3 1611
3 537
179 179
1

Prime factors of 4833 are 3,179. Prime factorization of 4833 in exponential form is:

4833 = 33×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4828 and 4833.

LCM(4828,4833) = 22×33×171×711×1791
LCM(4828,4833) = 23333724

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 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1, 3, 9, 27, 179, 537, 1611, 4833

Least Common Multiple of 4828 and 4833 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 4833, than apply into the LCM equation.

GCF(4828,4833) = 1
LCM(4828,4833) = ( 4828 × 4833) / 1
LCM(4828,4833) = 23333724 / 1
LCM(4828,4833) = 23333724

Properties of LCM 4828 and 4833

(i) The LCM of 4833 and 4828 is associative

LCM of 4828 and 4833 = LCM of 4833 and 4828

Related Least Common Multiples of 4828

Related Least Common Multiples of 4833

Frequently Asked Questions on LCM of 4828 and 4833

1. What is the LCM of 4828 and 4833?

Answer: LCM of 4828 and 4833 is 23333724.

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 4833?

Answer: Factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833. There are 8 integers that are factors of 4833. The greatest factor of 4833 is 4833.

4. How to Find the LCM of 4828 and 4833?

Answer:

Least Common Multiple of 4828 and 4833 = 23333724

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4833

4833 = 3 x 3 x 3 x 179

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

LCM = 23333724 = 2 x 2 x 3 x 3 x 3 x 17 x 71 x 179

Step 4: Therefore, the least common multiple of 4828 and 4833 is 23333724.