Least Common Multiple of 3808 and 3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3808 and 3813 the smallest integer that is 14519904 that is divisible by both numbers.

Least Common Multiple (LCM) of 3808 and 3813 is 14519904.

LCM(3808,3813) = 14519904

LCM of 3808 and 3813

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

LCM of:
and

Least Common Multiple of 3808 and 3813

LCM of 3808 and 3813 is 14519904

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3813. First we will calculate the prime factors of 3808 and 3813.

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

Prime Factorization of 3813


3 3813
31 1271
41 41
1

Prime factors of 3813 are 3, 31,41. Prime factorization of 3813 in exponential form is:

3813 = 31×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3813.

LCM(3808,3813) = 25×31×71×171×311×411
LCM(3808,3813) = 14519904

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

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1, 3, 31, 41, 93, 123, 1271, 3813

Least Common Multiple of 3808 and 3813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3808 and 3813, than apply into the LCM equation.

GCF(3808,3813) = 1
LCM(3808,3813) = ( 3808 × 3813) / 1
LCM(3808,3813) = 14519904 / 1
LCM(3808,3813) = 14519904

Properties of LCM 3808 and 3813

(i) The LCM of 3813 and 3808 is associative

LCM of 3808 and 3813 = LCM of 3813 and 3808

Related Least Common Multiples of 3808

Related Least Common Multiples of 3813

Frequently Asked Questions on LCM of 3808 and 3813

1. What is the LCM of 3808 and 3813?

Answer: LCM of 3808 and 3813 is 14519904.

2. 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.

3. What are the Factors of 3813?

Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.

4. How to Find the LCM of 3808 and 3813?

Answer:

Least Common Multiple of 3808 and 3813 = 14519904

Step 1: Find the prime factorization of 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 3813

3813 = 3 x 31 x 41

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

LCM = 14519904 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 31 x 41

Step 4: Therefore, the least common multiple of 3808 and 3813 is 14519904.