Least Common Multiple of 3793 and 3800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3793 and 3800 the smallest integer that is 14413400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3793 and 3800 is 14413400.

LCM(3793,3800) = 14413400

LCM of 3793 and 3800

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

LCM of:
and

Least Common Multiple of 3793 and 3800

LCM of 3793 and 3800 is 14413400

Least common multiple can be found by multiplying the highest exponent prime factors of 3793 and 3800. First we will calculate the prime factors of 3793 and 3800.

Prime Factorization of 3793


3793 3793
1

Prime factors of 3793 are 3793. Prime factorization of 3793 in exponential form is:

3793 = 37931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3793 and 3800.

LCM(3793,3800) = 23×52×191×37931
LCM(3793,3800) = 14413400

Factors of 3793

List of positive integer factors of 3793 that divides 3793 without a remainder.

1, 3793

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

Least Common Multiple of 3793 and 3800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3793 and 3800, than apply into the LCM equation.

GCF(3793,3800) = 1
LCM(3793,3800) = ( 3793 × 3800) / 1
LCM(3793,3800) = 14413400 / 1
LCM(3793,3800) = 14413400

Properties of LCM 3793 and 3800

(i) The LCM of 3800 and 3793 is associative

LCM of 3793 and 3800 = LCM of 3800 and 3793

Related Least Common Multiples of 3793

Related Least Common Multiples of 3800

Frequently Asked Questions on LCM of 3793 and 3800

1. What is the LCM of 3793 and 3800?

Answer: LCM of 3793 and 3800 is 14413400.

2. What are the Factors of 3793?

Answer: Factors of 3793 are 1, 3793. There are 2 integers that are factors of 3793. The greatest factor of 3793 is 3793.

3. 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.

4. How to Find the LCM of 3793 and 3800?

Answer:

Least Common Multiple of 3793 and 3800 = 14413400

Step 1: Find the prime factorization of 3793

3793 = 3793

Step 2: Find the prime factorization of 3800

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

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

LCM = 14413400 = 2 x 2 x 2 x 5 x 5 x 19 x 3793

Step 4: Therefore, the least common multiple of 3793 and 3800 is 14413400.