Least Common Multiple of 5845 and 5849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5845 and 5849 the smallest integer that is 34187405 that is divisible by both numbers.

Least Common Multiple (LCM) of 5845 and 5849 is 34187405.

LCM(5845,5849) = 34187405

LCM of 5845 and 5849

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

LCM of:
and

Least Common Multiple of 5845 and 5849

LCM of 5845 and 5849 is 34187405

Least common multiple can be found by multiplying the highest exponent prime factors of 5845 and 5849. First we will calculate the prime factors of 5845 and 5849.

Prime Factorization of 5845


5 5845
7 1169
167 167
1

Prime factors of 5845 are 5, 7,167. Prime factorization of 5845 in exponential form is:

5845 = 51×71×1671

Prime Factorization of 5849


5849 5849
1

Prime factors of 5849 are 5849. Prime factorization of 5849 in exponential form is:

5849 = 58491

Now multiplying the highest exponent prime factors to calculate the LCM of 5845 and 5849.

LCM(5845,5849) = 51×71×1671×58491
LCM(5845,5849) = 34187405

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1, 5, 7, 35, 167, 835, 1169, 5845

Factors of 5849

List of positive integer factors of 5849 that divides 5849 without a remainder.

1, 5849

Least Common Multiple of 5845 and 5849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5845 and 5849, than apply into the LCM equation.

GCF(5845,5849) = 1
LCM(5845,5849) = ( 5845 × 5849) / 1
LCM(5845,5849) = 34187405 / 1
LCM(5845,5849) = 34187405

Properties of LCM 5845 and 5849

(i) The LCM of 5849 and 5845 is associative

LCM of 5845 and 5849 = LCM of 5849 and 5845

Related Least Common Multiples of 5845

Related Least Common Multiples of 5849

Frequently Asked Questions on LCM of 5845 and 5849

1. What is the LCM of 5845 and 5849?

Answer: LCM of 5845 and 5849 is 34187405.

2. What are the Factors of 5845?

Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.

3. What are the Factors of 5849?

Answer: Factors of 5849 are 1, 5849. There are 2 integers that are factors of 5849. The greatest factor of 5849 is 5849.

4. How to Find the LCM of 5845 and 5849?

Answer:

Least Common Multiple of 5845 and 5849 = 34187405

Step 1: Find the prime factorization of 5845

5845 = 5 x 7 x 167

Step 2: Find the prime factorization of 5849

5849 = 5849

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

LCM = 34187405 = 5 x 7 x 167 x 5849

Step 4: Therefore, the least common multiple of 5845 and 5849 is 34187405.