Least Common Multiple of 5844 and 5848

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 5848 the smallest integer that is 8543928 that is divisible by both numbers.

Least Common Multiple (LCM) of 5844 and 5848 is 8543928.

LCM(5844,5848) = 8543928

LCM of 5844 and 5848

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

LCM of:
and

Least Common Multiple of 5844 and 5848

LCM of 5844 and 5848 is 8543928

Least common multiple can be found by multiplying the highest exponent prime factors of 5844 and 5848. First we will calculate the prime factors of 5844 and 5848.

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 5848


2 5848
2 2924
2 1462
17 731
43 43
1

Prime factors of 5848 are 2, 17,43. Prime factorization of 5848 in exponential form is:

5848 = 23×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5844 and 5848.

LCM(5844,5848) = 23×31×171×431×4871
LCM(5844,5848) = 8543928

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 5848

List of positive integer factors of 5848 that divides 5848 without a remainder.

1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848

Least Common Multiple of 5844 and 5848 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 5848, than apply into the LCM equation.

GCF(5844,5848) = 4
LCM(5844,5848) = ( 5844 × 5848) / 4
LCM(5844,5848) = 34175712 / 4
LCM(5844,5848) = 8543928

Properties of LCM 5844 and 5848

(i) The LCM of 5848 and 5844 is associative

LCM of 5844 and 5848 = LCM of 5848 and 5844

Related Least Common Multiples of 5844

Related Least Common Multiples of 5848

Frequently Asked Questions on LCM of 5844 and 5848

1. What is the LCM of 5844 and 5848?

Answer: LCM of 5844 and 5848 is 8543928.

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 5848?

Answer: Factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848. There are 16 integers that are factors of 5848. The greatest factor of 5848 is 5848.

4. How to Find the LCM of 5844 and 5848?

Answer:

Least Common Multiple of 5844 and 5848 = 8543928

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

Step 2: Find the prime factorization of 5848

5848 = 2 x 2 x 2 x 17 x 43

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

LCM = 8543928 = 2 x 2 x 2 x 3 x 17 x 43 x 487

Step 4: Therefore, the least common multiple of 5844 and 5848 is 8543928.