Least Common Multiple of 5859 and 5867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5859 and 5867 the smallest integer that is 34374753 that is divisible by both numbers.

Least Common Multiple (LCM) of 5859 and 5867 is 34374753.

LCM(5859,5867) = 34374753

LCM of 5859 and 5867

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

LCM of:
and

Least Common Multiple of 5859 and 5867

LCM of 5859 and 5867 is 34374753

Least common multiple can be found by multiplying the highest exponent prime factors of 5859 and 5867. First we will calculate the prime factors of 5859 and 5867.

Prime Factorization of 5859


3 5859
3 1953
3 651
7 217
31 31
1

Prime factors of 5859 are 3, 7,31. Prime factorization of 5859 in exponential form is:

5859 = 33×71×311

Prime Factorization of 5867


5867 5867
1

Prime factors of 5867 are 5867. Prime factorization of 5867 in exponential form is:

5867 = 58671

Now multiplying the highest exponent prime factors to calculate the LCM of 5859 and 5867.

LCM(5859,5867) = 33×71×311×58671
LCM(5859,5867) = 34374753

Factors of 5859

List of positive integer factors of 5859 that divides 5859 without a remainder.

1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859

Factors of 5867

List of positive integer factors of 5867 that divides 5867 without a remainder.

1, 5867

Least Common Multiple of 5859 and 5867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5859 and 5867, than apply into the LCM equation.

GCF(5859,5867) = 1
LCM(5859,5867) = ( 5859 × 5867) / 1
LCM(5859,5867) = 34374753 / 1
LCM(5859,5867) = 34374753

Properties of LCM 5859 and 5867

(i) The LCM of 5867 and 5859 is associative

LCM of 5859 and 5867 = LCM of 5867 and 5859

Related Least Common Multiples of 5859

Related Least Common Multiples of 5867

Frequently Asked Questions on LCM of 5859 and 5867

1. What is the LCM of 5859 and 5867?

Answer: LCM of 5859 and 5867 is 34374753.

2. What are the Factors of 5859?

Answer: Factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859. There are 16 integers that are factors of 5859. The greatest factor of 5859 is 5859.

3. What are the Factors of 5867?

Answer: Factors of 5867 are 1, 5867. There are 2 integers that are factors of 5867. The greatest factor of 5867 is 5867.

4. How to Find the LCM of 5859 and 5867?

Answer:

Least Common Multiple of 5859 and 5867 = 34374753

Step 1: Find the prime factorization of 5859

5859 = 3 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 5867

5867 = 5867

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

LCM = 34374753 = 3 x 3 x 3 x 7 x 31 x 5867

Step 4: Therefore, the least common multiple of 5859 and 5867 is 34374753.