Least Common Multiple of 3809 and 3816

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 3816 the smallest integer that is 14535144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3809 and 3816 is 14535144.

LCM(3809,3816) = 14535144

LCM of 3809 and 3816

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

LCM of:
and

Least Common Multiple of 3809 and 3816

LCM of 3809 and 3816 is 14535144

Least common multiple can be found by multiplying the highest exponent prime factors of 3809 and 3816. First we will calculate the prime factors of 3809 and 3816.

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 3816


2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 3816 are 2, 3,53. Prime factorization of 3816 in exponential form is:

3816 = 23×32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3809 and 3816.

LCM(3809,3816) = 23×32×131×531×2931
LCM(3809,3816) = 14535144

Factors of 3809

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

1, 13, 293, 3809

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816

Least Common Multiple of 3809 and 3816 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 3816, than apply into the LCM equation.

GCF(3809,3816) = 1
LCM(3809,3816) = ( 3809 × 3816) / 1
LCM(3809,3816) = 14535144 / 1
LCM(3809,3816) = 14535144

Properties of LCM 3809 and 3816

(i) The LCM of 3816 and 3809 is associative

LCM of 3809 and 3816 = LCM of 3816 and 3809

Related Least Common Multiples of 3809

Related Least Common Multiples of 3816

Frequently Asked Questions on LCM of 3809 and 3816

1. What is the LCM of 3809 and 3816?

Answer: LCM of 3809 and 3816 is 14535144.

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 3816?

Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.

4. How to Find the LCM of 3809 and 3816?

Answer:

Least Common Multiple of 3809 and 3816 = 14535144

Step 1: Find the prime factorization of 3809

3809 = 13 x 293

Step 2: Find the prime factorization of 3816

3816 = 2 x 2 x 2 x 3 x 3 x 53

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

LCM = 14535144 = 2 x 2 x 2 x 3 x 3 x 13 x 53 x 293

Step 4: Therefore, the least common multiple of 3809 and 3816 is 14535144.