Least Common Multiple of 3804 and 3808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3804 and 3808 the smallest integer that is 3621408 that is divisible by both numbers.

Least Common Multiple (LCM) of 3804 and 3808 is 3621408.

LCM(3804,3808) = 3621408

LCM of 3804 and 3808

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

LCM of:
and

Least Common Multiple of 3804 and 3808

LCM of 3804 and 3808 is 3621408

Least common multiple can be found by multiplying the highest exponent prime factors of 3804 and 3808. First we will calculate the prime factors of 3804 and 3808.

Prime Factorization of 3804


2 3804
2 1902
3 951
317 317
1

Prime factors of 3804 are 2, 3,317. Prime factorization of 3804 in exponential form is:

3804 = 22×31×3171

Prime Factorization of 3808


2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 3808 are 2, 7,17. Prime factorization of 3808 in exponential form is:

3808 = 25×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3804 and 3808.

LCM(3804,3808) = 25×31×71×171×3171
LCM(3804,3808) = 3621408

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808

Least Common Multiple of 3804 and 3808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3804 and 3808, than apply into the LCM equation.

GCF(3804,3808) = 4
LCM(3804,3808) = ( 3804 × 3808) / 4
LCM(3804,3808) = 14485632 / 4
LCM(3804,3808) = 3621408

Properties of LCM 3804 and 3808

(i) The LCM of 3808 and 3804 is associative

LCM of 3804 and 3808 = LCM of 3808 and 3804

Related Least Common Multiples of 3804

Related Least Common Multiples of 3808

Frequently Asked Questions on LCM of 3804 and 3808

1. What is the LCM of 3804 and 3808?

Answer: LCM of 3804 and 3808 is 3621408.

2. What are the Factors of 3804?

Answer: Factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804. There are 12 integers that are factors of 3804. The greatest factor of 3804 is 3804.

3. What are the Factors of 3808?

Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.

4. How to Find the LCM of 3804 and 3808?

Answer:

Least Common Multiple of 3804 and 3808 = 3621408

Step 1: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

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

LCM = 3621408 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 317

Step 4: Therefore, the least common multiple of 3804 and 3808 is 3621408.