Least Common Multiple of 3800 and 3804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3800 and 3804 the smallest integer that is 3613800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3800 and 3804 is 3613800.

LCM(3800,3804) = 3613800

LCM of 3800 and 3804

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

LCM of:
and

Least Common Multiple of 3800 and 3804

LCM of 3800 and 3804 is 3613800

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3804. First we will calculate the prime factors of 3800 and 3804.

Prime Factorization of 3800


2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 3800 are 2, 5,19. Prime factorization of 3800 in exponential form is:

3800 = 23×52×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3804.

LCM(3800,3804) = 23×31×52×191×3171
LCM(3800,3804) = 3613800

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800

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

Least Common Multiple of 3800 and 3804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3800 and 3804, than apply into the LCM equation.

GCF(3800,3804) = 4
LCM(3800,3804) = ( 3800 × 3804) / 4
LCM(3800,3804) = 14455200 / 4
LCM(3800,3804) = 3613800

Properties of LCM 3800 and 3804

(i) The LCM of 3804 and 3800 is associative

LCM of 3800 and 3804 = LCM of 3804 and 3800

Related Least Common Multiples of 3800

Related Least Common Multiples of 3804

Frequently Asked Questions on LCM of 3800 and 3804

1. What is the LCM of 3800 and 3804?

Answer: LCM of 3800 and 3804 is 3613800.

2. What are the Factors of 3800?

Answer: Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. There are 24 integers that are factors of 3800. The greatest factor of 3800 is 3800.

3. 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.

4. How to Find the LCM of 3800 and 3804?

Answer:

Least Common Multiple of 3800 and 3804 = 3613800

Step 1: Find the prime factorization of 3800

3800 = 2 x 2 x 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

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

LCM = 3613800 = 2 x 2 x 2 x 3 x 5 x 5 x 19 x 317

Step 4: Therefore, the least common multiple of 3800 and 3804 is 3613800.