Least Common Multiple of 4824 and 4828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4824 and 4828 the smallest integer that is 5822568 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4828 is 5822568.

LCM(4824,4828) = 5822568

LCM of 4824 and 4828

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

LCM of:
and

Least Common Multiple of 4824 and 4828

LCM of 4824 and 4828 is 5822568

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4828. First we will calculate the prime factors of 4824 and 4828.

Prime Factorization of 4824


2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 4824 are 2, 3,67. Prime factorization of 4824 in exponential form is:

4824 = 23×32×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4828.

LCM(4824,4828) = 23×32×171×671×711
LCM(4824,4828) = 5822568

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824

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

Least Common Multiple of 4824 and 4828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4824 and 4828, than apply into the LCM equation.

GCF(4824,4828) = 4
LCM(4824,4828) = ( 4824 × 4828) / 4
LCM(4824,4828) = 23290272 / 4
LCM(4824,4828) = 5822568

Properties of LCM 4824 and 4828

(i) The LCM of 4828 and 4824 is associative

LCM of 4824 and 4828 = LCM of 4828 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4828

Frequently Asked Questions on LCM of 4824 and 4828

1. What is the LCM of 4824 and 4828?

Answer: LCM of 4824 and 4828 is 5822568.

2. What are the Factors of 4824?

Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.

3. 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.

4. How to Find the LCM of 4824 and 4828?

Answer:

Least Common Multiple of 4824 and 4828 = 5822568

Step 1: Find the prime factorization of 4824

4824 = 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

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

LCM = 5822568 = 2 x 2 x 2 x 3 x 3 x 17 x 67 x 71

Step 4: Therefore, the least common multiple of 4824 and 4828 is 5822568.