Least Common Multiple of 5857 and 5865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5857 and 5865 the smallest integer that is 34351305 that is divisible by both numbers.

Least Common Multiple (LCM) of 5857 and 5865 is 34351305.

LCM(5857,5865) = 34351305

LCM of 5857 and 5865

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

LCM of:
and

Least Common Multiple of 5857 and 5865

LCM of 5857 and 5865 is 34351305

Least common multiple can be found by multiplying the highest exponent prime factors of 5857 and 5865. First we will calculate the prime factors of 5857 and 5865.

Prime Factorization of 5857


5857 5857
1

Prime factors of 5857 are 5857. Prime factorization of 5857 in exponential form is:

5857 = 58571

Prime Factorization of 5865


3 5865
5 1955
17 391
23 23
1

Prime factors of 5865 are 3, 5, 17,23. Prime factorization of 5865 in exponential form is:

5865 = 31×51×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5857 and 5865.

LCM(5857,5865) = 31×51×171×231×58571
LCM(5857,5865) = 34351305

Factors of 5857

List of positive integer factors of 5857 that divides 5857 without a remainder.

1, 5857

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865

Least Common Multiple of 5857 and 5865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5857 and 5865, than apply into the LCM equation.

GCF(5857,5865) = 1
LCM(5857,5865) = ( 5857 × 5865) / 1
LCM(5857,5865) = 34351305 / 1
LCM(5857,5865) = 34351305

Properties of LCM 5857 and 5865

(i) The LCM of 5865 and 5857 is associative

LCM of 5857 and 5865 = LCM of 5865 and 5857

Related Least Common Multiples of 5857

Related Least Common Multiples of 5865

Frequently Asked Questions on LCM of 5857 and 5865

1. What is the LCM of 5857 and 5865?

Answer: LCM of 5857 and 5865 is 34351305.

2. What are the Factors of 5857?

Answer: Factors of 5857 are 1, 5857. There are 2 integers that are factors of 5857. The greatest factor of 5857 is 5857.

3. What are the Factors of 5865?

Answer: Factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865. There are 16 integers that are factors of 5865. The greatest factor of 5865 is 5865.

4. How to Find the LCM of 5857 and 5865?

Answer:

Least Common Multiple of 5857 and 5865 = 34351305

Step 1: Find the prime factorization of 5857

5857 = 5857

Step 2: Find the prime factorization of 5865

5865 = 3 x 5 x 17 x 23

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

LCM = 34351305 = 3 x 5 x 17 x 23 x 5857

Step 4: Therefore, the least common multiple of 5857 and 5865 is 34351305.