Least Common Multiple of 5857 and 5863

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 5863 the smallest integer that is 34339591 that is divisible by both numbers.

Least Common Multiple (LCM) of 5857 and 5863 is 34339591.

LCM(5857,5863) = 34339591

LCM of 5857 and 5863

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

LCM of:
and

Least Common Multiple of 5857 and 5863

LCM of 5857 and 5863 is 34339591

Least common multiple can be found by multiplying the highest exponent prime factors of 5857 and 5863. First we will calculate the prime factors of 5857 and 5863.

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 5863


11 5863
13 533
41 41
1

Prime factors of 5863 are 11, 13,41. Prime factorization of 5863 in exponential form is:

5863 = 111×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5857 and 5863.

LCM(5857,5863) = 111×131×411×58571
LCM(5857,5863) = 34339591

Factors of 5857

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

1, 5857

Factors of 5863

List of positive integer factors of 5863 that divides 5863 without a remainder.

1, 11, 13, 41, 143, 451, 533, 5863

Least Common Multiple of 5857 and 5863 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 5863, than apply into the LCM equation.

GCF(5857,5863) = 1
LCM(5857,5863) = ( 5857 × 5863) / 1
LCM(5857,5863) = 34339591 / 1
LCM(5857,5863) = 34339591

Properties of LCM 5857 and 5863

(i) The LCM of 5863 and 5857 is associative

LCM of 5857 and 5863 = LCM of 5863 and 5857

Related Least Common Multiples of 5857

Related Least Common Multiples of 5863

Frequently Asked Questions on LCM of 5857 and 5863

1. What is the LCM of 5857 and 5863?

Answer: LCM of 5857 and 5863 is 34339591.

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 5863?

Answer: Factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863. There are 8 integers that are factors of 5863. The greatest factor of 5863 is 5863.

4. How to Find the LCM of 5857 and 5863?

Answer:

Least Common Multiple of 5857 and 5863 = 34339591

Step 1: Find the prime factorization of 5857

5857 = 5857

Step 2: Find the prime factorization of 5863

5863 = 11 x 13 x 41

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

LCM = 34339591 = 11 x 13 x 41 x 5857

Step 4: Therefore, the least common multiple of 5857 and 5863 is 34339591.