Least Common Multiple of 3808 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 3808 and 3816 the smallest integer that is 1816416 that is divisible by both numbers.

Least Common Multiple (LCM) of 3808 and 3816 is 1816416.

LCM(3808,3816) = 1816416

LCM of 3808 and 3816

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

LCM of:
and

Least Common Multiple of 3808 and 3816

LCM of 3808 and 3816 is 1816416

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3816. First we will calculate the prime factors of 3808 and 3816.

Prime Factorization of 3808


2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 3808 are 2, 7,17. Prime factorization of 3808 in exponential form is:

3808 = 25×71×171

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 3808 and 3816.

LCM(3808,3816) = 25×32×71×171×531
LCM(3808,3816) = 1816416

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808

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 3808 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 3808 and 3816, than apply into the LCM equation.

GCF(3808,3816) = 8
LCM(3808,3816) = ( 3808 × 3816) / 8
LCM(3808,3816) = 14531328 / 8
LCM(3808,3816) = 1816416

Properties of LCM 3808 and 3816

(i) The LCM of 3816 and 3808 is associative

LCM of 3808 and 3816 = LCM of 3816 and 3808

Related Least Common Multiples of 3808

Related Least Common Multiples of 3816

Frequently Asked Questions on LCM of 3808 and 3816

1. What is the LCM of 3808 and 3816?

Answer: LCM of 3808 and 3816 is 1816416.

2. What are the Factors of 3808?

Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.

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 3808 and 3816?

Answer:

Least Common Multiple of 3808 and 3816 = 1816416

Step 1: Find the prime factorization of 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

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 = 1816416 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 3808 and 3816 is 1816416.