Least Common Multiple of 3808 and 3814

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 3814 the smallest integer that is 7261856 that is divisible by both numbers.

Least Common Multiple (LCM) of 3808 and 3814 is 7261856.

LCM(3808,3814) = 7261856

LCM of 3808 and 3814

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

LCM of:
and

Least Common Multiple of 3808 and 3814

LCM of 3808 and 3814 is 7261856

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3814. First we will calculate the prime factors of 3808 and 3814.

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 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3814.

LCM(3808,3814) = 25×71×171×19071
LCM(3808,3814) = 7261856

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 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1, 2, 1907, 3814

Least Common Multiple of 3808 and 3814 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 3814, than apply into the LCM equation.

GCF(3808,3814) = 2
LCM(3808,3814) = ( 3808 × 3814) / 2
LCM(3808,3814) = 14523712 / 2
LCM(3808,3814) = 7261856

Properties of LCM 3808 and 3814

(i) The LCM of 3814 and 3808 is associative

LCM of 3808 and 3814 = LCM of 3814 and 3808

Related Least Common Multiples of 3808

Related Least Common Multiples of 3814

Frequently Asked Questions on LCM of 3808 and 3814

1. What is the LCM of 3808 and 3814?

Answer: LCM of 3808 and 3814 is 7261856.

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 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

4. How to Find the LCM of 3808 and 3814?

Answer:

Least Common Multiple of 3808 and 3814 = 7261856

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 3814

3814 = 2 x 1907

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

LCM = 7261856 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 1907

Step 4: Therefore, the least common multiple of 3808 and 3814 is 7261856.