Least Common Multiple of 3819 and 3824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3819 and 3824 the smallest integer that is 14603856 that is divisible by both numbers.

Least Common Multiple (LCM) of 3819 and 3824 is 14603856.

LCM(3819,3824) = 14603856

LCM of 3819 and 3824

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

LCM of:
and

Least Common Multiple of 3819 and 3824

LCM of 3819 and 3824 is 14603856

Least common multiple can be found by multiplying the highest exponent prime factors of 3819 and 3824. First we will calculate the prime factors of 3819 and 3824.

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

Prime Factorization of 3824


2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 3824 are 2,239. Prime factorization of 3824 in exponential form is:

3824 = 24×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 3819 and 3824.

LCM(3819,3824) = 24×31×191×671×2391
LCM(3819,3824) = 14603856

Factors of 3819

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

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

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

Least Common Multiple of 3819 and 3824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3819 and 3824, than apply into the LCM equation.

GCF(3819,3824) = 1
LCM(3819,3824) = ( 3819 × 3824) / 1
LCM(3819,3824) = 14603856 / 1
LCM(3819,3824) = 14603856

Properties of LCM 3819 and 3824

(i) The LCM of 3824 and 3819 is associative

LCM of 3819 and 3824 = LCM of 3824 and 3819

Related Least Common Multiples of 3819

Related Least Common Multiples of 3824

Frequently Asked Questions on LCM of 3819 and 3824

1. What is the LCM of 3819 and 3824?

Answer: LCM of 3819 and 3824 is 14603856.

2. 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.

3. What are the Factors of 3824?

Answer: Factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824. There are 10 integers that are factors of 3824. The greatest factor of 3824 is 3824.

4. How to Find the LCM of 3819 and 3824?

Answer:

Least Common Multiple of 3819 and 3824 = 14603856

Step 1: Find the prime factorization of 3819

3819 = 3 x 19 x 67

Step 2: Find the prime factorization of 3824

3824 = 2 x 2 x 2 x 2 x 239

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

LCM = 14603856 = 2 x 2 x 2 x 2 x 3 x 19 x 67 x 239

Step 4: Therefore, the least common multiple of 3819 and 3824 is 14603856.