Least Common Multiple of 5849 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 5849 and 5854 the smallest integer that is 34240046 that is divisible by both numbers.

Least Common Multiple (LCM) of 5849 and 5854 is 34240046.

LCM(5849,5854) = 34240046

LCM of 5849 and 5854

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

LCM of:
and

Least Common Multiple of 5849 and 5854

LCM of 5849 and 5854 is 34240046

Least common multiple can be found by multiplying the highest exponent prime factors of 5849 and 5854. First we will calculate the prime factors of 5849 and 5854.

Prime Factorization of 5849


5849 5849
1

Prime factors of 5849 are 5849. Prime factorization of 5849 in exponential form is:

5849 = 58491

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 5849 and 5854.

LCM(5849,5854) = 21×29271×58491
LCM(5849,5854) = 34240046

Factors of 5849

List of positive integer factors of 5849 that divides 5849 without a remainder.

1, 5849

Factors of 5854

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

1, 2, 2927, 5854

Least Common Multiple of 5849 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 5849 and 5854, than apply into the LCM equation.

GCF(5849,5854) = 1
LCM(5849,5854) = ( 5849 × 5854) / 1
LCM(5849,5854) = 34240046 / 1
LCM(5849,5854) = 34240046

Properties of LCM 5849 and 5854

(i) The LCM of 5854 and 5849 is associative

LCM of 5849 and 5854 = LCM of 5854 and 5849

Related Least Common Multiples of 5849

Related Least Common Multiples of 5854

Frequently Asked Questions on LCM of 5849 and 5854

1. What is the LCM of 5849 and 5854?

Answer: LCM of 5849 and 5854 is 34240046.

2. What are the Factors of 5849?

Answer: Factors of 5849 are 1, 5849. There are 2 integers that are factors of 5849. The greatest factor of 5849 is 5849.

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 5849 and 5854?

Answer:

Least Common Multiple of 5849 and 5854 = 34240046

Step 1: Find the prime factorization of 5849

5849 = 5849

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 = 34240046 = 2 x 2927 x 5849

Step 4: Therefore, the least common multiple of 5849 and 5854 is 34240046.