Least Common Multiple of 3908 and 3913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3908 and 3913 the smallest integer that is 15292004 that is divisible by both numbers.

Least Common Multiple (LCM) of 3908 and 3913 is 15292004.

LCM(3908,3913) = 15292004

LCM of 3908 and 3913

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

LCM of:
and

Least Common Multiple of 3908 and 3913

LCM of 3908 and 3913 is 15292004

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3913. First we will calculate the prime factors of 3908 and 3913.

Prime Factorization of 3908


2 3908
2 1954
977 977
1

Prime factors of 3908 are 2,977. Prime factorization of 3908 in exponential form is:

3908 = 22×9771

Prime Factorization of 3913


7 3913
13 559
43 43
1

Prime factors of 3913 are 7, 13,43. Prime factorization of 3913 in exponential form is:

3913 = 71×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3908 and 3913.

LCM(3908,3913) = 22×71×131×431×9771
LCM(3908,3913) = 15292004

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1, 2, 4, 977, 1954, 3908

Factors of 3913

List of positive integer factors of 3913 that divides 3913 without a remainder.

1, 7, 13, 43, 91, 301, 559, 3913

Least Common Multiple of 3908 and 3913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3908 and 3913, than apply into the LCM equation.

GCF(3908,3913) = 1
LCM(3908,3913) = ( 3908 × 3913) / 1
LCM(3908,3913) = 15292004 / 1
LCM(3908,3913) = 15292004

Properties of LCM 3908 and 3913

(i) The LCM of 3913 and 3908 is associative

LCM of 3908 and 3913 = LCM of 3913 and 3908

Related Least Common Multiples of 3908

Related Least Common Multiples of 3913

Frequently Asked Questions on LCM of 3908 and 3913

1. What is the LCM of 3908 and 3913?

Answer: LCM of 3908 and 3913 is 15292004.

2. What are the Factors of 3908?

Answer: Factors of 3908 are 1, 2, 4, 977, 1954, 3908. There are 6 integers that are factors of 3908. The greatest factor of 3908 is 3908.

3. What are the Factors of 3913?

Answer: Factors of 3913 are 1, 7, 13, 43, 91, 301, 559, 3913. There are 8 integers that are factors of 3913. The greatest factor of 3913 is 3913.

4. How to Find the LCM of 3908 and 3913?

Answer:

Least Common Multiple of 3908 and 3913 = 15292004

Step 1: Find the prime factorization of 3908

3908 = 2 x 2 x 977

Step 2: Find the prime factorization of 3913

3913 = 7 x 13 x 43

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

LCM = 15292004 = 2 x 2 x 7 x 13 x 43 x 977

Step 4: Therefore, the least common multiple of 3908 and 3913 is 15292004.