Least Common Multiple of 5802 and 5805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5802 and 5805 the smallest integer that is 11226870 that is divisible by both numbers.

Least Common Multiple (LCM) of 5802 and 5805 is 11226870.

LCM(5802,5805) = 11226870

LCM of 5802 and 5805

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

LCM of:
and

Least Common Multiple of 5802 and 5805

LCM of 5802 and 5805 is 11226870

Least common multiple can be found by multiplying the highest exponent prime factors of 5802 and 5805. First we will calculate the prime factors of 5802 and 5805.

Prime Factorization of 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2, 3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

Prime Factorization of 5805


3 5805
3 1935
3 645
5 215
43 43
1

Prime factors of 5805 are 3, 5,43. Prime factorization of 5805 in exponential form is:

5805 = 33×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5802 and 5805.

LCM(5802,5805) = 21×33×51×431×9671
LCM(5802,5805) = 11226870

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1, 2, 3, 6, 967, 1934, 2901, 5802

Factors of 5805

List of positive integer factors of 5805 that divides 5805 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805

Least Common Multiple of 5802 and 5805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5802 and 5805, than apply into the LCM equation.

GCF(5802,5805) = 3
LCM(5802,5805) = ( 5802 × 5805) / 3
LCM(5802,5805) = 33680610 / 3
LCM(5802,5805) = 11226870

Properties of LCM 5802 and 5805

(i) The LCM of 5805 and 5802 is associative

LCM of 5802 and 5805 = LCM of 5805 and 5802

Related Least Common Multiples of 5802

Related Least Common Multiples of 5805

Frequently Asked Questions on LCM of 5802 and 5805

1. What is the LCM of 5802 and 5805?

Answer: LCM of 5802 and 5805 is 11226870.

2. What are the Factors of 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

3. What are the Factors of 5805?

Answer: Factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805. There are 16 integers that are factors of 5805. The greatest factor of 5805 is 5805.

4. How to Find the LCM of 5802 and 5805?

Answer:

Least Common Multiple of 5802 and 5805 = 11226870

Step 1: Find the prime factorization of 5802

5802 = 2 x 3 x 967

Step 2: Find the prime factorization of 5805

5805 = 3 x 3 x 3 x 5 x 43

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

LCM = 11226870 = 2 x 3 x 3 x 3 x 5 x 43 x 967

Step 4: Therefore, the least common multiple of 5802 and 5805 is 11226870.