Least Common Multiple of 3816 and 3822

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 3822 the smallest integer that is 2430792 that is divisible by both numbers.

Least Common Multiple (LCM) of 3816 and 3822 is 2430792.

LCM(3816,3822) = 2430792

LCM of 3816 and 3822

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

LCM of:
and

Least Common Multiple of 3816 and 3822

LCM of 3816 and 3822 is 2430792

Least common multiple can be found by multiplying the highest exponent prime factors of 3816 and 3822. First we will calculate the prime factors of 3816 and 3822.

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 3822


2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 3822 are 2, 3, 7,13. Prime factorization of 3822 in exponential form is:

3822 = 21×31×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3816 and 3822.

LCM(3816,3822) = 23×32×72×131×531
LCM(3816,3822) = 2430792

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 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822

Least Common Multiple of 3816 and 3822 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 3822, than apply into the LCM equation.

GCF(3816,3822) = 6
LCM(3816,3822) = ( 3816 × 3822) / 6
LCM(3816,3822) = 14584752 / 6
LCM(3816,3822) = 2430792

Properties of LCM 3816 and 3822

(i) The LCM of 3822 and 3816 is associative

LCM of 3816 and 3822 = LCM of 3822 and 3816

Related Least Common Multiples of 3816

Related Least Common Multiples of 3822

Frequently Asked Questions on LCM of 3816 and 3822

1. What is the LCM of 3816 and 3822?

Answer: LCM of 3816 and 3822 is 2430792.

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 3822?

Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.

4. How to Find the LCM of 3816 and 3822?

Answer:

Least Common Multiple of 3816 and 3822 = 2430792

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 3822

3822 = 2 x 3 x 7 x 7 x 13

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

LCM = 2430792 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 53

Step 4: Therefore, the least common multiple of 3816 and 3822 is 2430792.