Least Common Multiple of 3795 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 3795 and 3800 the smallest integer that is 2884200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3795 and 3800 is 2884200.

LCM(3795,3800) = 2884200

LCM of 3795 and 3800

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

LCM of:
and

Least Common Multiple of 3795 and 3800

LCM of 3795 and 3800 is 2884200

Least common multiple can be found by multiplying the highest exponent prime factors of 3795 and 3800. First we will calculate the prime factors of 3795 and 3800.

Prime Factorization of 3795


3 3795
5 1265
11 253
23 23
1

Prime factors of 3795 are 3, 5, 11,23. Prime factorization of 3795 in exponential form is:

3795 = 31×51×111×231

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 3795 and 3800.

LCM(3795,3800) = 23×31×52×111×191×231
LCM(3795,3800) = 2884200

Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795

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 3795 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 3795 and 3800, than apply into the LCM equation.

GCF(3795,3800) = 5
LCM(3795,3800) = ( 3795 × 3800) / 5
LCM(3795,3800) = 14421000 / 5
LCM(3795,3800) = 2884200

Properties of LCM 3795 and 3800

(i) The LCM of 3800 and 3795 is associative

LCM of 3795 and 3800 = LCM of 3800 and 3795

Related Least Common Multiples of 3795

Related Least Common Multiples of 3800

Frequently Asked Questions on LCM of 3795 and 3800

1. What is the LCM of 3795 and 3800?

Answer: LCM of 3795 and 3800 is 2884200.

2. What are the Factors of 3795?

Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.

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 3795 and 3800?

Answer:

Least Common Multiple of 3795 and 3800 = 2884200

Step 1: Find the prime factorization of 3795

3795 = 3 x 5 x 11 x 23

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 = 2884200 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 3795 and 3800 is 2884200.