Least Common Multiple of 5855 and 5857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5855 and 5857 the smallest integer that is 34292735 that is divisible by both numbers.

Least Common Multiple (LCM) of 5855 and 5857 is 34292735.

LCM(5855,5857) = 34292735

LCM of 5855 and 5857

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

LCM of:
and

Least Common Multiple of 5855 and 5857

LCM of 5855 and 5857 is 34292735

Least common multiple can be found by multiplying the highest exponent prime factors of 5855 and 5857. First we will calculate the prime factors of 5855 and 5857.

Prime Factorization of 5855


5 5855
1171 1171
1

Prime factors of 5855 are 5,1171. Prime factorization of 5855 in exponential form is:

5855 = 51×11711

Prime Factorization of 5857


5857 5857
1

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

5857 = 58571

Now multiplying the highest exponent prime factors to calculate the LCM of 5855 and 5857.

LCM(5855,5857) = 51×11711×58571
LCM(5855,5857) = 34292735

Factors of 5855

List of positive integer factors of 5855 that divides 5855 without a remainder.

1, 5, 1171, 5855

Factors of 5857

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

1, 5857

Least Common Multiple of 5855 and 5857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5855 and 5857, than apply into the LCM equation.

GCF(5855,5857) = 1
LCM(5855,5857) = ( 5855 × 5857) / 1
LCM(5855,5857) = 34292735 / 1
LCM(5855,5857) = 34292735

Properties of LCM 5855 and 5857

(i) The LCM of 5857 and 5855 is associative

LCM of 5855 and 5857 = LCM of 5857 and 5855

Related Least Common Multiples of 5855

Related Least Common Multiples of 5857

Frequently Asked Questions on LCM of 5855 and 5857

1. What is the LCM of 5855 and 5857?

Answer: LCM of 5855 and 5857 is 34292735.

2. What are the Factors of 5855?

Answer: Factors of 5855 are 1, 5, 1171, 5855. There are 4 integers that are factors of 5855. The greatest factor of 5855 is 5855.

3. 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.

4. How to Find the LCM of 5855 and 5857?

Answer:

Least Common Multiple of 5855 and 5857 = 34292735

Step 1: Find the prime factorization of 5855

5855 = 5 x 1171

Step 2: Find the prime factorization of 5857

5857 = 5857

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

LCM = 34292735 = 5 x 1171 x 5857

Step 4: Therefore, the least common multiple of 5855 and 5857 is 34292735.