Least Common Multiple of 5846 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 5846 and 5848 the smallest integer that is 17093704 that is divisible by both numbers.

Least Common Multiple (LCM) of 5846 and 5848 is 17093704.

LCM(5846,5848) = 17093704

LCM of 5846 and 5848

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

LCM of:
and

Least Common Multiple of 5846 and 5848

LCM of 5846 and 5848 is 17093704

Least common multiple can be found by multiplying the highest exponent prime factors of 5846 and 5848. First we will calculate the prime factors of 5846 and 5848.

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 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 5846 and 5848.

LCM(5846,5848) = 23×171×371×431×791
LCM(5846,5848) = 17093704

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 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 5846 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 5846 and 5848, than apply into the LCM equation.

GCF(5846,5848) = 2
LCM(5846,5848) = ( 5846 × 5848) / 2
LCM(5846,5848) = 34187408 / 2
LCM(5846,5848) = 17093704

Properties of LCM 5846 and 5848

(i) The LCM of 5848 and 5846 is associative

LCM of 5846 and 5848 = LCM of 5848 and 5846

Related Least Common Multiples of 5846

Related Least Common Multiples of 5848

Frequently Asked Questions on LCM of 5846 and 5848

1. What is the LCM of 5846 and 5848?

Answer: LCM of 5846 and 5848 is 17093704.

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 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 5846 and 5848?

Answer:

Least Common Multiple of 5846 and 5848 = 17093704

Step 1: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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 = 17093704 = 2 x 2 x 2 x 17 x 37 x 43 x 79

Step 4: Therefore, the least common multiple of 5846 and 5848 is 17093704.