Least Common Multiple of 3806 and 3809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3806 and 3809 the smallest integer that is 14497054 that is divisible by both numbers.

Least Common Multiple (LCM) of 3806 and 3809 is 14497054.

LCM(3806,3809) = 14497054

LCM of 3806 and 3809

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

LCM of:
and

Least Common Multiple of 3806 and 3809

LCM of 3806 and 3809 is 14497054

Least common multiple can be found by multiplying the highest exponent prime factors of 3806 and 3809. First we will calculate the prime factors of 3806 and 3809.

Prime Factorization of 3806


2 3806
11 1903
173 173
1

Prime factors of 3806 are 2, 11,173. Prime factorization of 3806 in exponential form is:

3806 = 21×111×1731

Prime Factorization of 3809


13 3809
293 293
1

Prime factors of 3809 are 13,293. Prime factorization of 3809 in exponential form is:

3809 = 131×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3806 and 3809.

LCM(3806,3809) = 21×111×131×1731×2931
LCM(3806,3809) = 14497054

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1, 2, 11, 22, 173, 346, 1903, 3806

Factors of 3809

List of positive integer factors of 3809 that divides 3809 without a remainder.

1, 13, 293, 3809

Least Common Multiple of 3806 and 3809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3806 and 3809, than apply into the LCM equation.

GCF(3806,3809) = 1
LCM(3806,3809) = ( 3806 × 3809) / 1
LCM(3806,3809) = 14497054 / 1
LCM(3806,3809) = 14497054

Properties of LCM 3806 and 3809

(i) The LCM of 3809 and 3806 is associative

LCM of 3806 and 3809 = LCM of 3809 and 3806

Related Least Common Multiples of 3806

Related Least Common Multiples of 3809

Frequently Asked Questions on LCM of 3806 and 3809

1. What is the LCM of 3806 and 3809?

Answer: LCM of 3806 and 3809 is 14497054.

2. What are the Factors of 3806?

Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.

3. What are the Factors of 3809?

Answer: Factors of 3809 are 1, 13, 293, 3809. There are 4 integers that are factors of 3809. The greatest factor of 3809 is 3809.

4. How to Find the LCM of 3806 and 3809?

Answer:

Least Common Multiple of 3806 and 3809 = 14497054

Step 1: Find the prime factorization of 3806

3806 = 2 x 11 x 173

Step 2: Find the prime factorization of 3809

3809 = 13 x 293

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

LCM = 14497054 = 2 x 11 x 13 x 173 x 293

Step 4: Therefore, the least common multiple of 3806 and 3809 is 14497054.