Least Common Multiple of 5808 and 5812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5808 and 5812 the smallest integer that is 8439024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5808 and 5812 is 8439024.

LCM(5808,5812) = 8439024

LCM of 5808 and 5812

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

LCM of:
and

Least Common Multiple of 5808 and 5812

LCM of 5808 and 5812 is 8439024

Least common multiple can be found by multiplying the highest exponent prime factors of 5808 and 5812. First we will calculate the prime factors of 5808 and 5812.

Prime Factorization of 5808


2 5808
2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 5808 are 2, 3,11. Prime factorization of 5808 in exponential form is:

5808 = 24×31×112

Prime Factorization of 5812


2 5812
2 2906
1453 1453
1

Prime factors of 5812 are 2,1453. Prime factorization of 5812 in exponential form is:

5812 = 22×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 5808 and 5812.

LCM(5808,5812) = 24×31×112×14531
LCM(5808,5812) = 8439024

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808

Factors of 5812

List of positive integer factors of 5812 that divides 5812 without a remainder.

1, 2, 4, 1453, 2906, 5812

Least Common Multiple of 5808 and 5812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5808 and 5812, than apply into the LCM equation.

GCF(5808,5812) = 4
LCM(5808,5812) = ( 5808 × 5812) / 4
LCM(5808,5812) = 33756096 / 4
LCM(5808,5812) = 8439024

Properties of LCM 5808 and 5812

(i) The LCM of 5812 and 5808 is associative

LCM of 5808 and 5812 = LCM of 5812 and 5808

Related Least Common Multiples of 5808

Related Least Common Multiples of 5812

Frequently Asked Questions on LCM of 5808 and 5812

1. What is the LCM of 5808 and 5812?

Answer: LCM of 5808 and 5812 is 8439024.

2. What are the Factors of 5808?

Answer: Factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808. There are 30 integers that are factors of 5808. The greatest factor of 5808 is 5808.

3. What are the Factors of 5812?

Answer: Factors of 5812 are 1, 2, 4, 1453, 2906, 5812. There are 6 integers that are factors of 5812. The greatest factor of 5812 is 5812.

4. How to Find the LCM of 5808 and 5812?

Answer:

Least Common Multiple of 5808 and 5812 = 8439024

Step 1: Find the prime factorization of 5808

5808 = 2 x 2 x 2 x 2 x 3 x 11 x 11

Step 2: Find the prime factorization of 5812

5812 = 2 x 2 x 1453

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

LCM = 8439024 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 1453

Step 4: Therefore, the least common multiple of 5808 and 5812 is 8439024.