Least Common Multiple of 5844 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 5844 and 5852 the smallest integer that is 8549772 that is divisible by both numbers.

Least Common Multiple (LCM) of 5844 and 5852 is 8549772.

LCM(5844,5852) = 8549772

LCM of 5844 and 5852

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

LCM of:
and

Least Common Multiple of 5844 and 5852

LCM of 5844 and 5852 is 8549772

Least common multiple can be found by multiplying the highest exponent prime factors of 5844 and 5852. First we will calculate the prime factors of 5844 and 5852.

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2, 3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

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 5844 and 5852.

LCM(5844,5852) = 22×31×71×111×191×4871
LCM(5844,5852) = 8549772

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

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 5844 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 5844 and 5852, than apply into the LCM equation.

GCF(5844,5852) = 4
LCM(5844,5852) = ( 5844 × 5852) / 4
LCM(5844,5852) = 34199088 / 4
LCM(5844,5852) = 8549772

Properties of LCM 5844 and 5852

(i) The LCM of 5852 and 5844 is associative

LCM of 5844 and 5852 = LCM of 5852 and 5844

Related Least Common Multiples of 5844

Related Least Common Multiples of 5852

Frequently Asked Questions on LCM of 5844 and 5852

1. What is the LCM of 5844 and 5852?

Answer: LCM of 5844 and 5852 is 8549772.

2. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

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 5844 and 5852?

Answer:

Least Common Multiple of 5844 and 5852 = 8549772

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

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 = 8549772 = 2 x 2 x 3 x 7 x 11 x 19 x 487

Step 4: Therefore, the least common multiple of 5844 and 5852 is 8549772.