Least Common Multiple of 4828 and 4836

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 4836 the smallest integer that is 5837052 that is divisible by both numbers.

Least Common Multiple (LCM) of 4828 and 4836 is 5837052.

LCM(4828,4836) = 5837052

LCM of 4828 and 4836

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

LCM of:
and

Least Common Multiple of 4828 and 4836

LCM of 4828 and 4836 is 5837052

Least common multiple can be found by multiplying the highest exponent prime factors of 4828 and 4836. First we will calculate the prime factors of 4828 and 4836.

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 4836


2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 4836 are 2, 3, 13,31. Prime factorization of 4836 in exponential form is:

4836 = 22×31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4828 and 4836.

LCM(4828,4836) = 22×31×131×171×311×711
LCM(4828,4836) = 5837052

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 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836

Least Common Multiple of 4828 and 4836 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 4836, than apply into the LCM equation.

GCF(4828,4836) = 4
LCM(4828,4836) = ( 4828 × 4836) / 4
LCM(4828,4836) = 23348208 / 4
LCM(4828,4836) = 5837052

Properties of LCM 4828 and 4836

(i) The LCM of 4836 and 4828 is associative

LCM of 4828 and 4836 = LCM of 4836 and 4828

Related Least Common Multiples of 4828

Related Least Common Multiples of 4836

Frequently Asked Questions on LCM of 4828 and 4836

1. What is the LCM of 4828 and 4836?

Answer: LCM of 4828 and 4836 is 5837052.

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 4836?

Answer: Factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836. There are 24 integers that are factors of 4836. The greatest factor of 4836 is 4836.

4. How to Find the LCM of 4828 and 4836?

Answer:

Least Common Multiple of 4828 and 4836 = 5837052

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4836

4836 = 2 x 2 x 3 x 13 x 31

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

LCM = 5837052 = 2 x 2 x 3 x 13 x 17 x 31 x 71

Step 4: Therefore, the least common multiple of 4828 and 4836 is 5837052.