Least Common Multiple of 5852 and 5858

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 5858 the smallest integer that is 17140508 that is divisible by both numbers.

Least Common Multiple (LCM) of 5852 and 5858 is 17140508.

LCM(5852,5858) = 17140508

LCM of 5852 and 5858

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

LCM of:
and

Least Common Multiple of 5852 and 5858

LCM of 5852 and 5858 is 17140508

Least common multiple can be found by multiplying the highest exponent prime factors of 5852 and 5858. First we will calculate the prime factors of 5852 and 5858.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5852 and 5858.

LCM(5852,5858) = 22×71×111×191×291×1011
LCM(5852,5858) = 17140508

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 5858

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

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

Least Common Multiple of 5852 and 5858 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 5858, than apply into the LCM equation.

GCF(5852,5858) = 2
LCM(5852,5858) = ( 5852 × 5858) / 2
LCM(5852,5858) = 34281016 / 2
LCM(5852,5858) = 17140508

Properties of LCM 5852 and 5858

(i) The LCM of 5858 and 5852 is associative

LCM of 5852 and 5858 = LCM of 5858 and 5852

Related Least Common Multiples of 5852

Related Least Common Multiples of 5858

Frequently Asked Questions on LCM of 5852 and 5858

1. What is the LCM of 5852 and 5858?

Answer: LCM of 5852 and 5858 is 17140508.

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 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.

4. How to Find the LCM of 5852 and 5858?

Answer:

Least Common Multiple of 5852 and 5858 = 17140508

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 5858

5858 = 2 x 29 x 101

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

LCM = 17140508 = 2 x 2 x 7 x 11 x 19 x 29 x 101

Step 4: Therefore, the least common multiple of 5852 and 5858 is 17140508.