Least Common Multiple of 5852 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 5852 and 5859 the smallest integer that is 4898124 that is divisible by both numbers.

Least Common Multiple (LCM) of 5852 and 5859 is 4898124.

LCM(5852,5859) = 4898124

LCM of 5852 and 5859

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

LCM of:
and

Least Common Multiple of 5852 and 5859

LCM of 5852 and 5859 is 4898124

Least common multiple can be found by multiplying the highest exponent prime factors of 5852 and 5859. First we will calculate the prime factors of 5852 and 5859.

Prime Factorization of 5852


2 5852
2 2926
7 1463
11 209
19 19
1

Prime factors of 5852 are 2, 7, 11,19. Prime factorization of 5852 in exponential form is:

5852 = 22×71×111×191

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 5852 and 5859.

LCM(5852,5859) = 22×33×71×111×191×311
LCM(5852,5859) = 4898124

Factors of 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

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 5852 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 5852 and 5859, than apply into the LCM equation.

GCF(5852,5859) = 7
LCM(5852,5859) = ( 5852 × 5859) / 7
LCM(5852,5859) = 34286868 / 7
LCM(5852,5859) = 4898124

Properties of LCM 5852 and 5859

(i) The LCM of 5859 and 5852 is associative

LCM of 5852 and 5859 = LCM of 5859 and 5852

Related Least Common Multiples of 5852

Related Least Common Multiples of 5859

Frequently Asked Questions on LCM of 5852 and 5859

1. What is the LCM of 5852 and 5859?

Answer: LCM of 5852 and 5859 is 4898124.

2. What are the Factors of 5852?

Answer: Factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852. There are 24 integers that are factors of 5852. The greatest factor of 5852 is 5852.

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 5852 and 5859?

Answer:

Least Common Multiple of 5852 and 5859 = 4898124

Step 1: Find the prime factorization of 5852

5852 = 2 x 2 x 7 x 11 x 19

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 = 4898124 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 5852 and 5859 is 4898124.