Least Common Multiple of 5869 and 5873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5869 and 5873 the smallest integer that is 34468637 that is divisible by both numbers.

Least Common Multiple (LCM) of 5869 and 5873 is 34468637.

LCM(5869,5873) = 34468637

LCM of 5869 and 5873

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

LCM of:
and

Least Common Multiple of 5869 and 5873

LCM of 5869 and 5873 is 34468637

Least common multiple can be found by multiplying the highest exponent prime factors of 5869 and 5873. First we will calculate the prime factors of 5869 and 5873.

Prime Factorization of 5869


5869 5869
1

Prime factors of 5869 are 5869. Prime factorization of 5869 in exponential form is:

5869 = 58691

Prime Factorization of 5873


7 5873
839 839
1

Prime factors of 5873 are 7,839. Prime factorization of 5873 in exponential form is:

5873 = 71×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 5869 and 5873.

LCM(5869,5873) = 71×8391×58691
LCM(5869,5873) = 34468637

Factors of 5869

List of positive integer factors of 5869 that divides 5869 without a remainder.

1, 5869

Factors of 5873

List of positive integer factors of 5873 that divides 5873 without a remainder.

1, 7, 839, 5873

Least Common Multiple of 5869 and 5873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5869 and 5873, than apply into the LCM equation.

GCF(5869,5873) = 1
LCM(5869,5873) = ( 5869 × 5873) / 1
LCM(5869,5873) = 34468637 / 1
LCM(5869,5873) = 34468637

Properties of LCM 5869 and 5873

(i) The LCM of 5873 and 5869 is associative

LCM of 5869 and 5873 = LCM of 5873 and 5869

Related Least Common Multiples of 5869

Related Least Common Multiples of 5873

Frequently Asked Questions on LCM of 5869 and 5873

1. What is the LCM of 5869 and 5873?

Answer: LCM of 5869 and 5873 is 34468637.

2. What are the Factors of 5869?

Answer: Factors of 5869 are 1, 5869. There are 2 integers that are factors of 5869. The greatest factor of 5869 is 5869.

3. What are the Factors of 5873?

Answer: Factors of 5873 are 1, 7, 839, 5873. There are 4 integers that are factors of 5873. The greatest factor of 5873 is 5873.

4. How to Find the LCM of 5869 and 5873?

Answer:

Least Common Multiple of 5869 and 5873 = 34468637

Step 1: Find the prime factorization of 5869

5869 = 5869

Step 2: Find the prime factorization of 5873

5873 = 7 x 839

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

LCM = 34468637 = 7 x 839 x 5869

Step 4: Therefore, the least common multiple of 5869 and 5873 is 34468637.