Least Common Multiple of 5801 and 5808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5801 and 5808 the smallest integer that is 33692208 that is divisible by both numbers.

Least Common Multiple (LCM) of 5801 and 5808 is 33692208.

LCM(5801,5808) = 33692208

LCM of 5801 and 5808

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

LCM of:
and

Least Common Multiple of 5801 and 5808

LCM of 5801 and 5808 is 33692208

Least common multiple can be found by multiplying the highest exponent prime factors of 5801 and 5808. First we will calculate the prime factors of 5801 and 5808.

Prime Factorization of 5801


5801 5801
1

Prime factors of 5801 are 5801. Prime factorization of 5801 in exponential form is:

5801 = 58011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5801 and 5808.

LCM(5801,5808) = 24×31×112×58011
LCM(5801,5808) = 33692208

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1, 5801

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

Least Common Multiple of 5801 and 5808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5801 and 5808, than apply into the LCM equation.

GCF(5801,5808) = 1
LCM(5801,5808) = ( 5801 × 5808) / 1
LCM(5801,5808) = 33692208 / 1
LCM(5801,5808) = 33692208

Properties of LCM 5801 and 5808

(i) The LCM of 5808 and 5801 is associative

LCM of 5801 and 5808 = LCM of 5808 and 5801

Related Least Common Multiples of 5801

Related Least Common Multiples of 5808

Frequently Asked Questions on LCM of 5801 and 5808

1. What is the LCM of 5801 and 5808?

Answer: LCM of 5801 and 5808 is 33692208.

2. What are the Factors of 5801?

Answer: Factors of 5801 are 1, 5801. There are 2 integers that are factors of 5801. The greatest factor of 5801 is 5801.

3. 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.

4. How to Find the LCM of 5801 and 5808?

Answer:

Least Common Multiple of 5801 and 5808 = 33692208

Step 1: Find the prime factorization of 5801

5801 = 5801

Step 2: Find the prime factorization of 5808

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

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

LCM = 33692208 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 5801

Step 4: Therefore, the least common multiple of 5801 and 5808 is 33692208.