Least Common Multiple of 3900 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 3900 and 3908 the smallest integer that is 3810300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3900 and 3908 is 3810300.

LCM(3900,3908) = 3810300

LCM of 3900 and 3908

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

LCM of:
and

Least Common Multiple of 3900 and 3908

LCM of 3900 and 3908 is 3810300

Least common multiple can be found by multiplying the highest exponent prime factors of 3900 and 3908. First we will calculate the prime factors of 3900 and 3908.

Prime Factorization of 3900


2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 3900 are 2, 3, 5,13. Prime factorization of 3900 in exponential form is:

3900 = 22×31×52×131

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 3900 and 3908.

LCM(3900,3908) = 22×31×52×131×9771
LCM(3900,3908) = 3810300

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900

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 3900 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 3900 and 3908, than apply into the LCM equation.

GCF(3900,3908) = 4
LCM(3900,3908) = ( 3900 × 3908) / 4
LCM(3900,3908) = 15241200 / 4
LCM(3900,3908) = 3810300

Properties of LCM 3900 and 3908

(i) The LCM of 3908 and 3900 is associative

LCM of 3900 and 3908 = LCM of 3908 and 3900

Related Least Common Multiples of 3900

Related Least Common Multiples of 3908

Frequently Asked Questions on LCM of 3900 and 3908

1. What is the LCM of 3900 and 3908?

Answer: LCM of 3900 and 3908 is 3810300.

2. What are the Factors of 3900?

Answer: Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. There are 36 integers that are factors of 3900. The greatest factor of 3900 is 3900.

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 3900 and 3908?

Answer:

Least Common Multiple of 3900 and 3908 = 3810300

Step 1: Find the prime factorization of 3900

3900 = 2 x 2 x 3 x 5 x 5 x 13

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 = 3810300 = 2 x 2 x 3 x 5 x 5 x 13 x 977

Step 4: Therefore, the least common multiple of 3900 and 3908 is 3810300.