Least Common Multiple of 3809 and 3817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3809 and 3817 the smallest integer that is 14538953 that is divisible by both numbers.

Least Common Multiple (LCM) of 3809 and 3817 is 14538953.

LCM(3809,3817) = 14538953

LCM of 3809 and 3817

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

LCM of:
and

Least Common Multiple of 3809 and 3817

LCM of 3809 and 3817 is 14538953

Least common multiple can be found by multiplying the highest exponent prime factors of 3809 and 3817. First we will calculate the prime factors of 3809 and 3817.

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

Prime Factorization of 3817


11 3817
347 347
1

Prime factors of 3817 are 11,347. Prime factorization of 3817 in exponential form is:

3817 = 111×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 3809 and 3817.

LCM(3809,3817) = 111×131×2931×3471
LCM(3809,3817) = 14538953

Factors of 3809

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

1, 13, 293, 3809

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1, 11, 347, 3817

Least Common Multiple of 3809 and 3817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3809 and 3817, than apply into the LCM equation.

GCF(3809,3817) = 1
LCM(3809,3817) = ( 3809 × 3817) / 1
LCM(3809,3817) = 14538953 / 1
LCM(3809,3817) = 14538953

Properties of LCM 3809 and 3817

(i) The LCM of 3817 and 3809 is associative

LCM of 3809 and 3817 = LCM of 3817 and 3809

Related Least Common Multiples of 3809

Related Least Common Multiples of 3817

Frequently Asked Questions on LCM of 3809 and 3817

1. What is the LCM of 3809 and 3817?

Answer: LCM of 3809 and 3817 is 14538953.

2. 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.

3. What are the Factors of 3817?

Answer: Factors of 3817 are 1, 11, 347, 3817. There are 4 integers that are factors of 3817. The greatest factor of 3817 is 3817.

4. How to Find the LCM of 3809 and 3817?

Answer:

Least Common Multiple of 3809 and 3817 = 14538953

Step 1: Find the prime factorization of 3809

3809 = 13 x 293

Step 2: Find the prime factorization of 3817

3817 = 11 x 347

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

LCM = 14538953 = 11 x 13 x 293 x 347

Step 4: Therefore, the least common multiple of 3809 and 3817 is 14538953.