Least Common Multiple of 3908 and 3916

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 3916 the smallest integer that is 3825932 that is divisible by both numbers.

Least Common Multiple (LCM) of 3908 and 3916 is 3825932.

LCM(3908,3916) = 3825932

LCM of 3908 and 3916

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

LCM of:
and

Least Common Multiple of 3908 and 3916

LCM of 3908 and 3916 is 3825932

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3916. First we will calculate the prime factors of 3908 and 3916.

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 3916


2 3916
2 1958
11 979
89 89
1

Prime factors of 3916 are 2, 11,89. Prime factorization of 3916 in exponential form is:

3916 = 22×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3908 and 3916.

LCM(3908,3916) = 22×111×891×9771
LCM(3908,3916) = 3825932

Factors of 3908

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

1, 2, 4, 977, 1954, 3908

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

Least Common Multiple of 3908 and 3916 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 3916, than apply into the LCM equation.

GCF(3908,3916) = 4
LCM(3908,3916) = ( 3908 × 3916) / 4
LCM(3908,3916) = 15303728 / 4
LCM(3908,3916) = 3825932

Properties of LCM 3908 and 3916

(i) The LCM of 3916 and 3908 is associative

LCM of 3908 and 3916 = LCM of 3916 and 3908

Related Least Common Multiples of 3908

Related Least Common Multiples of 3916

Frequently Asked Questions on LCM of 3908 and 3916

1. What is the LCM of 3908 and 3916?

Answer: LCM of 3908 and 3916 is 3825932.

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 3916?

Answer: Factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. There are 12 integers that are factors of 3916. The greatest factor of 3916 is 3916.

4. How to Find the LCM of 3908 and 3916?

Answer:

Least Common Multiple of 3908 and 3916 = 3825932

Step 1: Find the prime factorization of 3908

3908 = 2 x 2 x 977

Step 2: Find the prime factorization of 3916

3916 = 2 x 2 x 11 x 89

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

LCM = 3825932 = 2 x 2 x 11 x 89 x 977

Step 4: Therefore, the least common multiple of 3908 and 3916 is 3825932.