Least Common Multiple of 3800 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 3800 and 3808 the smallest integer that is 1808800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3800 and 3808 is 1808800.

LCM(3800,3808) = 1808800

LCM of 3800 and 3808

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

LCM of:
and

Least Common Multiple of 3800 and 3808

LCM of 3800 and 3808 is 1808800

Least common multiple can be found by multiplying the highest exponent prime factors of 3800 and 3808. First we will calculate the prime factors of 3800 and 3808.

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 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 3800 and 3808.

LCM(3800,3808) = 25×52×71×171×191
LCM(3800,3808) = 1808800

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 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 3800 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 3800 and 3808, than apply into the LCM equation.

GCF(3800,3808) = 8
LCM(3800,3808) = ( 3800 × 3808) / 8
LCM(3800,3808) = 14470400 / 8
LCM(3800,3808) = 1808800

Properties of LCM 3800 and 3808

(i) The LCM of 3808 and 3800 is associative

LCM of 3800 and 3808 = LCM of 3808 and 3800

Related Least Common Multiples of 3800

Related Least Common Multiples of 3808

Frequently Asked Questions on LCM of 3800 and 3808

1. What is the LCM of 3800 and 3808?

Answer: LCM of 3800 and 3808 is 1808800.

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 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 3800 and 3808?

Answer:

Least Common Multiple of 3800 and 3808 = 1808800

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 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 = 1808800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 3800 and 3808 is 1808800.