Least Common Multiple of 5840 and 5846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5840 and 5846 the smallest integer that is 17070320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5840 and 5846 is 17070320.

LCM(5840,5846) = 17070320

LCM of 5840 and 5846

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

LCM of:
and

Least Common Multiple of 5840 and 5846

LCM of 5840 and 5846 is 17070320

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5846. First we will calculate the prime factors of 5840 and 5846.

Prime Factorization of 5840


2 5840
2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 5840 are 2, 5,73. Prime factorization of 5840 in exponential form is:

5840 = 24×51×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5846.

LCM(5840,5846) = 24×51×371×731×791
LCM(5840,5846) = 17070320

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840

Factors of 5846

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

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

Least Common Multiple of 5840 and 5846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5846, than apply into the LCM equation.

GCF(5840,5846) = 2
LCM(5840,5846) = ( 5840 × 5846) / 2
LCM(5840,5846) = 34140640 / 2
LCM(5840,5846) = 17070320

Properties of LCM 5840 and 5846

(i) The LCM of 5846 and 5840 is associative

LCM of 5840 and 5846 = LCM of 5846 and 5840

Related Least Common Multiples of 5840

Related Least Common Multiples of 5846

Frequently Asked Questions on LCM of 5840 and 5846

1. What is the LCM of 5840 and 5846?

Answer: LCM of 5840 and 5846 is 17070320.

2. What are the Factors of 5840?

Answer: Factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. There are 20 integers that are factors of 5840. The greatest factor of 5840 is 5840.

3. 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.

4. How to Find the LCM of 5840 and 5846?

Answer:

Least Common Multiple of 5840 and 5846 = 17070320

Step 1: Find the prime factorization of 5840

5840 = 2 x 2 x 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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

LCM = 17070320 = 2 x 2 x 2 x 2 x 5 x 37 x 73 x 79

Step 4: Therefore, the least common multiple of 5840 and 5846 is 17070320.