Least Common Multiple of 5841 and 5847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5841 and 5847 the smallest integer that is 11384109 that is divisible by both numbers.

Least Common Multiple (LCM) of 5841 and 5847 is 11384109.

LCM(5841,5847) = 11384109

LCM of 5841 and 5847

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

LCM of:
and

Least Common Multiple of 5841 and 5847

LCM of 5841 and 5847 is 11384109

Least common multiple can be found by multiplying the highest exponent prime factors of 5841 and 5847. First we will calculate the prime factors of 5841 and 5847.

Prime Factorization of 5841


3 5841
3 1947
11 649
59 59
1

Prime factors of 5841 are 3, 11,59. Prime factorization of 5841 in exponential form is:

5841 = 32×111×591

Prime Factorization of 5847


3 5847
1949 1949
1

Prime factors of 5847 are 3,1949. Prime factorization of 5847 in exponential form is:

5847 = 31×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 5841 and 5847.

LCM(5841,5847) = 32×111×591×19491
LCM(5841,5847) = 11384109

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841

Factors of 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1, 3, 1949, 5847

Least Common Multiple of 5841 and 5847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5841 and 5847, than apply into the LCM equation.

GCF(5841,5847) = 3
LCM(5841,5847) = ( 5841 × 5847) / 3
LCM(5841,5847) = 34152327 / 3
LCM(5841,5847) = 11384109

Properties of LCM 5841 and 5847

(i) The LCM of 5847 and 5841 is associative

LCM of 5841 and 5847 = LCM of 5847 and 5841

Related Least Common Multiples of 5841

Related Least Common Multiples of 5847

Frequently Asked Questions on LCM of 5841 and 5847

1. What is the LCM of 5841 and 5847?

Answer: LCM of 5841 and 5847 is 11384109.

2. What are the Factors of 5841?

Answer: Factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841. There are 12 integers that are factors of 5841. The greatest factor of 5841 is 5841.

3. What are the Factors of 5847?

Answer: Factors of 5847 are 1, 3, 1949, 5847. There are 4 integers that are factors of 5847. The greatest factor of 5847 is 5847.

4. How to Find the LCM of 5841 and 5847?

Answer:

Least Common Multiple of 5841 and 5847 = 11384109

Step 1: Find the prime factorization of 5841

5841 = 3 x 3 x 11 x 59

Step 2: Find the prime factorization of 5847

5847 = 3 x 1949

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

LCM = 11384109 = 3 x 3 x 11 x 59 x 1949

Step 4: Therefore, the least common multiple of 5841 and 5847 is 11384109.