Least Common Multiple of 5841 and 5846

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 5846 the smallest integer that is 34146486 that is divisible by both numbers.

Least Common Multiple (LCM) of 5841 and 5846 is 34146486.

LCM(5841,5846) = 34146486

LCM of 5841 and 5846

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

LCM of:
and

Least Common Multiple of 5841 and 5846

LCM of 5841 and 5846 is 34146486

Least common multiple can be found by multiplying the highest exponent prime factors of 5841 and 5846. First we will calculate the prime factors of 5841 and 5846.

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 5846


2 5846
37 2923
79 79
1

Prime factors of 5846 are 2, 37,79. Prime factorization of 5846 in exponential form is:

5846 = 21×371×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5841 and 5846.

LCM(5841,5846) = 21×32×111×371×591×791
LCM(5841,5846) = 34146486

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 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1, 2, 37, 74, 79, 158, 2923, 5846

Least Common Multiple of 5841 and 5846 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 5846, than apply into the LCM equation.

GCF(5841,5846) = 1
LCM(5841,5846) = ( 5841 × 5846) / 1
LCM(5841,5846) = 34146486 / 1
LCM(5841,5846) = 34146486

Properties of LCM 5841 and 5846

(i) The LCM of 5846 and 5841 is associative

LCM of 5841 and 5846 = LCM of 5846 and 5841

Related Least Common Multiples of 5841

Related Least Common Multiples of 5846

Frequently Asked Questions on LCM of 5841 and 5846

1. What is the LCM of 5841 and 5846?

Answer: LCM of 5841 and 5846 is 34146486.

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 5846?

Answer: Factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846. There are 8 integers that are factors of 5846. The greatest factor of 5846 is 5846.

4. How to Find the LCM of 5841 and 5846?

Answer:

Least Common Multiple of 5841 and 5846 = 34146486

Step 1: Find the prime factorization of 5841

5841 = 3 x 3 x 11 x 59

Step 2: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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

LCM = 34146486 = 2 x 3 x 3 x 11 x 37 x 59 x 79

Step 4: Therefore, the least common multiple of 5841 and 5846 is 34146486.