Least Common Multiple of 3800 and 3803

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 3803 the smallest integer that is 14451400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3800 and 3803 is 14451400.

LCM(3800,3803) = 14451400

LCM of 3800 and 3803

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

LCM of:
and

Least Common Multiple of 3800 and 3803

LCM of 3800 and 3803 is 14451400

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3803. First we will calculate the prime factors of 3800 and 3803.

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 3803


3803 3803
1

Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:

3803 = 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3803.

LCM(3800,3803) = 23×52×191×38031
LCM(3800,3803) = 14451400

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 3803

List of positive integer factors of 3803 that divides 3803 without a remainder.

1, 3803

Least Common Multiple of 3800 and 3803 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 3803, than apply into the LCM equation.

GCF(3800,3803) = 1
LCM(3800,3803) = ( 3800 × 3803) / 1
LCM(3800,3803) = 14451400 / 1
LCM(3800,3803) = 14451400

Properties of LCM 3800 and 3803

(i) The LCM of 3803 and 3800 is associative

LCM of 3800 and 3803 = LCM of 3803 and 3800

Frequently Asked Questions on LCM of 3800 and 3803

1. What is the LCM of 3800 and 3803?

Answer: LCM of 3800 and 3803 is 14451400.

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 3803?

Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.

4. How to Find the LCM of 3800 and 3803?

Answer:

Least Common Multiple of 3800 and 3803 = 14451400

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 3803

3803 = 3803

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

LCM = 14451400 = 2 x 2 x 2 x 5 x 5 x 19 x 3803

Step 4: Therefore, the least common multiple of 3800 and 3803 is 14451400.