Least Common Multiple of 5858 and 5862

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 5862 the smallest integer that is 17169798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5858 and 5862 is 17169798.

LCM(5858,5862) = 17169798

LCM of 5858 and 5862

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

LCM of:
and

Least Common Multiple of 5858 and 5862

LCM of 5858 and 5862 is 17169798

Least common multiple can be found by multiplying the highest exponent prime factors of 5858 and 5862. First we will calculate the prime factors of 5858 and 5862.

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 5862


2 5862
3 2931
977 977
1

Prime factors of 5862 are 2, 3,977. Prime factorization of 5862 in exponential form is:

5862 = 21×31×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 5858 and 5862.

LCM(5858,5862) = 21×31×291×1011×9771
LCM(5858,5862) = 17169798

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 5862

List of positive integer factors of 5862 that divides 5862 without a remainder.

1, 2, 3, 6, 977, 1954, 2931, 5862

Least Common Multiple of 5858 and 5862 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 5862, than apply into the LCM equation.

GCF(5858,5862) = 2
LCM(5858,5862) = ( 5858 × 5862) / 2
LCM(5858,5862) = 34339596 / 2
LCM(5858,5862) = 17169798

Properties of LCM 5858 and 5862

(i) The LCM of 5862 and 5858 is associative

LCM of 5858 and 5862 = LCM of 5862 and 5858

Related Least Common Multiples of 5858

Related Least Common Multiples of 5862

Frequently Asked Questions on LCM of 5858 and 5862

1. What is the LCM of 5858 and 5862?

Answer: LCM of 5858 and 5862 is 17169798.

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 5862?

Answer: Factors of 5862 are 1, 2, 3, 6, 977, 1954, 2931, 5862. There are 8 integers that are factors of 5862. The greatest factor of 5862 is 5862.

4. How to Find the LCM of 5858 and 5862?

Answer:

Least Common Multiple of 5858 and 5862 = 17169798

Step 1: Find the prime factorization of 5858

5858 = 2 x 29 x 101

Step 2: Find the prime factorization of 5862

5862 = 2 x 3 x 977

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

LCM = 17169798 = 2 x 3 x 29 x 101 x 977

Step 4: Therefore, the least common multiple of 5858 and 5862 is 17169798.