Least Common Multiple of 5908 and 5913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5908 and 5913 the smallest integer that is 34934004 that is divisible by both numbers.

Least Common Multiple (LCM) of 5908 and 5913 is 34934004.

LCM(5908,5913) = 34934004

LCM of 5908 and 5913

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

LCM of:
and

Least Common Multiple of 5908 and 5913

LCM of 5908 and 5913 is 34934004

Least common multiple can be found by multiplying the highest exponent prime factors of 5908 and 5913. First we will calculate the prime factors of 5908 and 5913.

Prime Factorization of 5908


2 5908
2 2954
7 1477
211 211
1

Prime factors of 5908 are 2, 7,211. Prime factorization of 5908 in exponential form is:

5908 = 22×71×2111

Prime Factorization of 5913


3 5913
3 1971
3 657
3 219
73 73
1

Prime factors of 5913 are 3,73. Prime factorization of 5913 in exponential form is:

5913 = 34×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5908 and 5913.

LCM(5908,5913) = 22×34×71×731×2111
LCM(5908,5913) = 34934004

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913

Least Common Multiple of 5908 and 5913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5908 and 5913, than apply into the LCM equation.

GCF(5908,5913) = 1
LCM(5908,5913) = ( 5908 × 5913) / 1
LCM(5908,5913) = 34934004 / 1
LCM(5908,5913) = 34934004

Properties of LCM 5908 and 5913

(i) The LCM of 5913 and 5908 is associative

LCM of 5908 and 5913 = LCM of 5913 and 5908

Related Least Common Multiples of 5908

Related Least Common Multiples of 5913

Frequently Asked Questions on LCM of 5908 and 5913

1. What is the LCM of 5908 and 5913?

Answer: LCM of 5908 and 5913 is 34934004.

2. What are the Factors of 5908?

Answer: Factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908. There are 12 integers that are factors of 5908. The greatest factor of 5908 is 5908.

3. What are the Factors of 5913?

Answer: Factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913. There are 10 integers that are factors of 5913. The greatest factor of 5913 is 5913.

4. How to Find the LCM of 5908 and 5913?

Answer:

Least Common Multiple of 5908 and 5913 = 34934004

Step 1: Find the prime factorization of 5908

5908 = 2 x 2 x 7 x 211

Step 2: Find the prime factorization of 5913

5913 = 3 x 3 x 3 x 3 x 73

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

LCM = 34934004 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 73 x 211

Step 4: Therefore, the least common multiple of 5908 and 5913 is 34934004.