Least Common Multiple of 3816 and 3821

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 3821 the smallest integer that is 14580936 that is divisible by both numbers.

Least Common Multiple (LCM) of 3816 and 3821 is 14580936.

LCM(3816,3821) = 14580936

LCM of 3816 and 3821

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

LCM of:
and

Least Common Multiple of 3816 and 3821

LCM of 3816 and 3821 is 14580936

Least common multiple can be found by multiplying the highest exponent prime factors of 3816 and 3821. First we will calculate the prime factors of 3816 and 3821.

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 3821


3821 3821
1

Prime factors of 3821 are 3821. Prime factorization of 3821 in exponential form is:

3821 = 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 3816 and 3821.

LCM(3816,3821) = 23×32×531×38211
LCM(3816,3821) = 14580936

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 3821

List of positive integer factors of 3821 that divides 3821 without a remainder.

1, 3821

Least Common Multiple of 3816 and 3821 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 3821, than apply into the LCM equation.

GCF(3816,3821) = 1
LCM(3816,3821) = ( 3816 × 3821) / 1
LCM(3816,3821) = 14580936 / 1
LCM(3816,3821) = 14580936

Properties of LCM 3816 and 3821

(i) The LCM of 3821 and 3816 is associative

LCM of 3816 and 3821 = LCM of 3821 and 3816

Related Least Common Multiples of 3816

Related Least Common Multiples of 3821

Frequently Asked Questions on LCM of 3816 and 3821

1. What is the LCM of 3816 and 3821?

Answer: LCM of 3816 and 3821 is 14580936.

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 3821?

Answer: Factors of 3821 are 1, 3821. There are 2 integers that are factors of 3821. The greatest factor of 3821 is 3821.

4. How to Find the LCM of 3816 and 3821?

Answer:

Least Common Multiple of 3816 and 3821 = 14580936

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 3821

3821 = 3821

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

LCM = 14580936 = 2 x 2 x 2 x 3 x 3 x 53 x 3821

Step 4: Therefore, the least common multiple of 3816 and 3821 is 14580936.