Least Common Multiple of 3816 and 3819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3816 and 3819 the smallest integer that is 4857768 that is divisible by both numbers.

Least Common Multiple (LCM) of 3816 and 3819 is 4857768.

LCM(3816,3819) = 4857768

LCM of 3816 and 3819

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

LCM of:
and

Least Common Multiple of 3816 and 3819

LCM of 3816 and 3819 is 4857768

Least common multiple can be found by multiplying the highest exponent prime factors of 3816 and 3819. First we will calculate the prime factors of 3816 and 3819.

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

Prime Factorization of 3819


3 3819
19 1273
67 67
1

Prime factors of 3819 are 3, 19,67. Prime factorization of 3819 in exponential form is:

3819 = 31×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3816 and 3819.

LCM(3816,3819) = 23×32×191×531×671
LCM(3816,3819) = 4857768

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

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1, 3, 19, 57, 67, 201, 1273, 3819

Least Common Multiple of 3816 and 3819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3816 and 3819, than apply into the LCM equation.

GCF(3816,3819) = 3
LCM(3816,3819) = ( 3816 × 3819) / 3
LCM(3816,3819) = 14573304 / 3
LCM(3816,3819) = 4857768

Properties of LCM 3816 and 3819

(i) The LCM of 3819 and 3816 is associative

LCM of 3816 and 3819 = LCM of 3819 and 3816

Related Least Common Multiples of 3816

Related Least Common Multiples of 3819

Frequently Asked Questions on LCM of 3816 and 3819

1. What is the LCM of 3816 and 3819?

Answer: LCM of 3816 and 3819 is 4857768.

2. 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.

3. What are the Factors of 3819?

Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.

4. How to Find the LCM of 3816 and 3819?

Answer:

Least Common Multiple of 3816 and 3819 = 4857768

Step 1: Find the prime factorization of 3816

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

Step 2: Find the prime factorization of 3819

3819 = 3 x 19 x 67

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

LCM = 4857768 = 2 x 2 x 2 x 3 x 3 x 19 x 53 x 67

Step 4: Therefore, the least common multiple of 3816 and 3819 is 4857768.