Least Common Multiple of 5846 and 5854

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 5854 the smallest integer that is 17111242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5846 and 5854 is 17111242.

LCM(5846,5854) = 17111242

LCM of 5846 and 5854

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

LCM of:
and

Least Common Multiple of 5846 and 5854

LCM of 5846 and 5854 is 17111242

Least common multiple can be found by multiplying the highest exponent prime factors of 5846 and 5854. First we will calculate the prime factors of 5846 and 5854.

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 5854


2 5854
2927 2927
1

Prime factors of 5854 are 2,2927. Prime factorization of 5854 in exponential form is:

5854 = 21×29271

Now multiplying the highest exponent prime factors to calculate the LCM of 5846 and 5854.

LCM(5846,5854) = 21×371×791×29271
LCM(5846,5854) = 17111242

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 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1, 2, 2927, 5854

Least Common Multiple of 5846 and 5854 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 5854, than apply into the LCM equation.

GCF(5846,5854) = 2
LCM(5846,5854) = ( 5846 × 5854) / 2
LCM(5846,5854) = 34222484 / 2
LCM(5846,5854) = 17111242

Properties of LCM 5846 and 5854

(i) The LCM of 5854 and 5846 is associative

LCM of 5846 and 5854 = LCM of 5854 and 5846

Related Least Common Multiples of 5846

Related Least Common Multiples of 5854

Frequently Asked Questions on LCM of 5846 and 5854

1. What is the LCM of 5846 and 5854?

Answer: LCM of 5846 and 5854 is 17111242.

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 5854?

Answer: Factors of 5854 are 1, 2, 2927, 5854. There are 4 integers that are factors of 5854. The greatest factor of 5854 is 5854.

4. How to Find the LCM of 5846 and 5854?

Answer:

Least Common Multiple of 5846 and 5854 = 17111242

Step 1: Find the prime factorization of 5846

5846 = 2 x 37 x 79

Step 2: Find the prime factorization of 5854

5854 = 2 x 2927

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

LCM = 17111242 = 2 x 37 x 79 x 2927

Step 4: Therefore, the least common multiple of 5846 and 5854 is 17111242.