Least Common Multiple of 3808 and 3812

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 3812 the smallest integer that is 3629024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3808 and 3812 is 3629024.

LCM(3808,3812) = 3629024

LCM of 3808 and 3812

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

LCM of:
and

Least Common Multiple of 3808 and 3812

LCM of 3808 and 3812 is 3629024

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3812. First we will calculate the prime factors of 3808 and 3812.

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 3812


2 3812
2 1906
953 953
1

Prime factors of 3812 are 2,953. Prime factorization of 3812 in exponential form is:

3812 = 22×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3812.

LCM(3808,3812) = 25×71×171×9531
LCM(3808,3812) = 3629024

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 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1, 2, 4, 953, 1906, 3812

Least Common Multiple of 3808 and 3812 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 3812, than apply into the LCM equation.

GCF(3808,3812) = 4
LCM(3808,3812) = ( 3808 × 3812) / 4
LCM(3808,3812) = 14516096 / 4
LCM(3808,3812) = 3629024

Properties of LCM 3808 and 3812

(i) The LCM of 3812 and 3808 is associative

LCM of 3808 and 3812 = LCM of 3812 and 3808

Related Least Common Multiples of 3808

Related Least Common Multiples of 3812

Frequently Asked Questions on LCM of 3808 and 3812

1. What is the LCM of 3808 and 3812?

Answer: LCM of 3808 and 3812 is 3629024.

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 3812?

Answer: Factors of 3812 are 1, 2, 4, 953, 1906, 3812. There are 6 integers that are factors of 3812. The greatest factor of 3812 is 3812.

4. How to Find the LCM of 3808 and 3812?

Answer:

Least Common Multiple of 3808 and 3812 = 3629024

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 3812

3812 = 2 x 2 x 953

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

LCM = 3629024 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 953

Step 4: Therefore, the least common multiple of 3808 and 3812 is 3629024.