Least Common Multiple of 5853 and 5859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5853 and 5859 the smallest integer that is 11430909 that is divisible by both numbers.

Least Common Multiple (LCM) of 5853 and 5859 is 11430909.

LCM(5853,5859) = 11430909

LCM of 5853 and 5859

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

LCM of:
and

Least Common Multiple of 5853 and 5859

LCM of 5853 and 5859 is 11430909

Least common multiple can be found by multiplying the highest exponent prime factors of 5853 and 5859. First we will calculate the prime factors of 5853 and 5859.

Prime Factorization of 5853


3 5853
1951 1951
1

Prime factors of 5853 are 3,1951. Prime factorization of 5853 in exponential form is:

5853 = 31×19511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5853 and 5859.

LCM(5853,5859) = 33×71×311×19511
LCM(5853,5859) = 11430909

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1, 3, 1951, 5853

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

Least Common Multiple of 5853 and 5859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5853 and 5859, than apply into the LCM equation.

GCF(5853,5859) = 3
LCM(5853,5859) = ( 5853 × 5859) / 3
LCM(5853,5859) = 34292727 / 3
LCM(5853,5859) = 11430909

Properties of LCM 5853 and 5859

(i) The LCM of 5859 and 5853 is associative

LCM of 5853 and 5859 = LCM of 5859 and 5853

Related Least Common Multiples of 5853

Related Least Common Multiples of 5859

Frequently Asked Questions on LCM of 5853 and 5859

1. What is the LCM of 5853 and 5859?

Answer: LCM of 5853 and 5859 is 11430909.

2. What are the Factors of 5853?

Answer: Factors of 5853 are 1, 3, 1951, 5853. There are 4 integers that are factors of 5853. The greatest factor of 5853 is 5853.

3. 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.

4. How to Find the LCM of 5853 and 5859?

Answer:

Least Common Multiple of 5853 and 5859 = 11430909

Step 1: Find the prime factorization of 5853

5853 = 3 x 1951

Step 2: Find the prime factorization of 5859

5859 = 3 x 3 x 3 x 7 x 31

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

LCM = 11430909 = 3 x 3 x 3 x 7 x 31 x 1951

Step 4: Therefore, the least common multiple of 5853 and 5859 is 11430909.