Least Common Multiple of 5808 and 5815

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 5815 the smallest integer that is 33773520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5808 and 5815 is 33773520.

LCM(5808,5815) = 33773520

LCM of 5808 and 5815

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

LCM of:
and

Least Common Multiple of 5808 and 5815

LCM of 5808 and 5815 is 33773520

Least common multiple can be found by multiplying the highest exponent prime factors of 5808 and 5815. First we will calculate the prime factors of 5808 and 5815.

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 5815


5 5815
1163 1163
1

Prime factors of 5815 are 5,1163. Prime factorization of 5815 in exponential form is:

5815 = 51×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 5808 and 5815.

LCM(5808,5815) = 24×31×51×112×11631
LCM(5808,5815) = 33773520

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 5815

List of positive integer factors of 5815 that divides 5815 without a remainder.

1, 5, 1163, 5815

Least Common Multiple of 5808 and 5815 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 5815, than apply into the LCM equation.

GCF(5808,5815) = 1
LCM(5808,5815) = ( 5808 × 5815) / 1
LCM(5808,5815) = 33773520 / 1
LCM(5808,5815) = 33773520

Properties of LCM 5808 and 5815

(i) The LCM of 5815 and 5808 is associative

LCM of 5808 and 5815 = LCM of 5815 and 5808

Related Least Common Multiples of 5808

Related Least Common Multiples of 5815

Frequently Asked Questions on LCM of 5808 and 5815

1. What is the LCM of 5808 and 5815?

Answer: LCM of 5808 and 5815 is 33773520.

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 5815?

Answer: Factors of 5815 are 1, 5, 1163, 5815. There are 4 integers that are factors of 5815. The greatest factor of 5815 is 5815.

4. How to Find the LCM of 5808 and 5815?

Answer:

Least Common Multiple of 5808 and 5815 = 33773520

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 5815

5815 = 5 x 1163

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

LCM = 33773520 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 1163

Step 4: Therefore, the least common multiple of 5808 and 5815 is 33773520.