Least Common Multiple of 5858 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 5858 and 5859 the smallest integer that is 34322022 that is divisible by both numbers.

Least Common Multiple (LCM) of 5858 and 5859 is 34322022.

LCM(5858,5859) = 34322022

LCM of 5858 and 5859

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

LCM of:
and

Least Common Multiple of 5858 and 5859

LCM of 5858 and 5859 is 34322022

Least common multiple can be found by multiplying the highest exponent prime factors of 5858 and 5859. First we will calculate the prime factors of 5858 and 5859.

Prime Factorization of 5858


2 5858
29 2929
101 101
1

Prime factors of 5858 are 2, 29,101. Prime factorization of 5858 in exponential form is:

5858 = 21×291×1011

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 5858 and 5859.

LCM(5858,5859) = 21×33×71×291×311×1011
LCM(5858,5859) = 34322022

Factors of 5858

List of positive integer factors of 5858 that divides 5858 without a remainder.

1, 2, 29, 58, 101, 202, 2929, 5858

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 5858 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 5858 and 5859, than apply into the LCM equation.

GCF(5858,5859) = 1
LCM(5858,5859) = ( 5858 × 5859) / 1
LCM(5858,5859) = 34322022 / 1
LCM(5858,5859) = 34322022

Properties of LCM 5858 and 5859

(i) The LCM of 5859 and 5858 is associative

LCM of 5858 and 5859 = LCM of 5859 and 5858

Related Least Common Multiples of 5858

Related Least Common Multiples of 5859

Frequently Asked Questions on LCM of 5858 and 5859

1. What is the LCM of 5858 and 5859?

Answer: LCM of 5858 and 5859 is 34322022.

2. What are the Factors of 5858?

Answer: Factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858. There are 8 integers that are factors of 5858. The greatest factor of 5858 is 5858.

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 5858 and 5859?

Answer:

Least Common Multiple of 5858 and 5859 = 34322022

Step 1: Find the prime factorization of 5858

5858 = 2 x 29 x 101

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 = 34322022 = 2 x 3 x 3 x 3 x 7 x 29 x 31 x 101

Step 4: Therefore, the least common multiple of 5858 and 5859 is 34322022.