Least Common Multiple of 5846 and 5852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5846 and 5852 the smallest integer that is 17105396 that is divisible by both numbers.

Least Common Multiple (LCM) of 5846 and 5852 is 17105396.

LCM(5846,5852) = 17105396

LCM of 5846 and 5852

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

LCM of:
and

Least Common Multiple of 5846 and 5852

LCM of 5846 and 5852 is 17105396

Least common multiple can be found by multiplying the highest exponent prime factors of 5846 and 5852. First we will calculate the prime factors of 5846 and 5852.

Prime Factorization of 5846


2 5846
37 2923
79 79
1

Prime factors of 5846 are 2, 37,79. Prime factorization of 5846 in exponential form is:

5846 = 21×371×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5846 and 5852.

LCM(5846,5852) = 22×71×111×191×371×791
LCM(5846,5852) = 17105396

Factors of 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1, 2, 37, 74, 79, 158, 2923, 5846

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

Least Common Multiple of 5846 and 5852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5846 and 5852, than apply into the LCM equation.

GCF(5846,5852) = 2
LCM(5846,5852) = ( 5846 × 5852) / 2
LCM(5846,5852) = 34210792 / 2
LCM(5846,5852) = 17105396

Properties of LCM 5846 and 5852

(i) The LCM of 5852 and 5846 is associative

LCM of 5846 and 5852 = LCM of 5852 and 5846

Related Least Common Multiples of 5846

Related Least Common Multiples of 5852

Frequently Asked Questions on LCM of 5846 and 5852

1. What is the LCM of 5846 and 5852?

Answer: LCM of 5846 and 5852 is 17105396.

2. What are the Factors of 5846?

Answer: Factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846. There are 8 integers that are factors of 5846. The greatest factor of 5846 is 5846.

3. 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.

4. How to Find the LCM of 5846 and 5852?

Answer:

Least Common Multiple of 5846 and 5852 = 17105396

Step 1: Find the prime factorization of 5846

5846 = 2 x 37 x 79

Step 2: Find the prime factorization of 5852

5852 = 2 x 2 x 7 x 11 x 19

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

LCM = 17105396 = 2 x 2 x 7 x 11 x 19 x 37 x 79

Step 4: Therefore, the least common multiple of 5846 and 5852 is 17105396.