Least Common Multiple of 3901 and 3908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3901 and 3908 the smallest integer that is 15245108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3901 and 3908 is 15245108.

LCM(3901,3908) = 15245108

LCM of 3901 and 3908

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

LCM of:
and

Least Common Multiple of 3901 and 3908

LCM of 3901 and 3908 is 15245108

Least common multiple can be found by multiplying the highest exponent prime factors of 3901 and 3908. First we will calculate the prime factors of 3901 and 3908.

Prime Factorization of 3901


47 3901
83 83
1

Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:

3901 = 471×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3901 and 3908.

LCM(3901,3908) = 22×471×831×9771
LCM(3901,3908) = 15245108

Factors of 3901

List of positive integer factors of 3901 that divides 3901 without a remainder.

1, 47, 83, 3901

Factors of 3908

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

1, 2, 4, 977, 1954, 3908

Least Common Multiple of 3901 and 3908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3901 and 3908, than apply into the LCM equation.

GCF(3901,3908) = 1
LCM(3901,3908) = ( 3901 × 3908) / 1
LCM(3901,3908) = 15245108 / 1
LCM(3901,3908) = 15245108

Properties of LCM 3901 and 3908

(i) The LCM of 3908 and 3901 is associative

LCM of 3901 and 3908 = LCM of 3908 and 3901

Related Least Common Multiples of 3901

Related Least Common Multiples of 3908

Frequently Asked Questions on LCM of 3901 and 3908

1. What is the LCM of 3901 and 3908?

Answer: LCM of 3901 and 3908 is 15245108.

2. What are the Factors of 3901?

Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.

3. 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.

4. How to Find the LCM of 3901 and 3908?

Answer:

Least Common Multiple of 3901 and 3908 = 15245108

Step 1: Find the prime factorization of 3901

3901 = 47 x 83

Step 2: Find the prime factorization of 3908

3908 = 2 x 2 x 977

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

LCM = 15245108 = 2 x 2 x 47 x 83 x 977

Step 4: Therefore, the least common multiple of 3901 and 3908 is 15245108.