Least Common Multiple of 5845 and 5851

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 5851 the smallest integer that is 34199095 that is divisible by both numbers.

Least Common Multiple (LCM) of 5845 and 5851 is 34199095.

LCM(5845,5851) = 34199095

LCM of 5845 and 5851

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

LCM of:
and

Least Common Multiple of 5845 and 5851

LCM of 5845 and 5851 is 34199095

Least common multiple can be found by multiplying the highest exponent prime factors of 5845 and 5851. First we will calculate the prime factors of 5845 and 5851.

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 5851


5851 5851
1

Prime factors of 5851 are 5851. Prime factorization of 5851 in exponential form is:

5851 = 58511

Now multiplying the highest exponent prime factors to calculate the LCM of 5845 and 5851.

LCM(5845,5851) = 51×71×1671×58511
LCM(5845,5851) = 34199095

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 5851

List of positive integer factors of 5851 that divides 5851 without a remainder.

1, 5851

Least Common Multiple of 5845 and 5851 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 5851, than apply into the LCM equation.

GCF(5845,5851) = 1
LCM(5845,5851) = ( 5845 × 5851) / 1
LCM(5845,5851) = 34199095 / 1
LCM(5845,5851) = 34199095

Properties of LCM 5845 and 5851

(i) The LCM of 5851 and 5845 is associative

LCM of 5845 and 5851 = LCM of 5851 and 5845

Related Least Common Multiples of 5845

Related Least Common Multiples of 5851

Frequently Asked Questions on LCM of 5845 and 5851

1. What is the LCM of 5845 and 5851?

Answer: LCM of 5845 and 5851 is 34199095.

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 5851?

Answer: Factors of 5851 are 1, 5851. There are 2 integers that are factors of 5851. The greatest factor of 5851 is 5851.

4. How to Find the LCM of 5845 and 5851?

Answer:

Least Common Multiple of 5845 and 5851 = 34199095

Step 1: Find the prime factorization of 5845

5845 = 5 x 7 x 167

Step 2: Find the prime factorization of 5851

5851 = 5851

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

LCM = 34199095 = 5 x 7 x 167 x 5851

Step 4: Therefore, the least common multiple of 5845 and 5851 is 34199095.