Least Common Multiple of 3808 and 3815

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 3815 the smallest integer that is 2075360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3808 and 3815 is 2075360.

LCM(3808,3815) = 2075360

LCM of 3808 and 3815

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

LCM of:
and

Least Common Multiple of 3808 and 3815

LCM of 3808 and 3815 is 2075360

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3815. First we will calculate the prime factors of 3808 and 3815.

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 3815


5 3815
7 763
109 109
1

Prime factors of 3815 are 5, 7,109. Prime factorization of 3815 in exponential form is:

3815 = 51×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3815.

LCM(3808,3815) = 25×51×71×171×1091
LCM(3808,3815) = 2075360

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 3815

List of positive integer factors of 3815 that divides 3815 without a remainder.

1, 5, 7, 35, 109, 545, 763, 3815

Least Common Multiple of 3808 and 3815 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 3815, than apply into the LCM equation.

GCF(3808,3815) = 7
LCM(3808,3815) = ( 3808 × 3815) / 7
LCM(3808,3815) = 14527520 / 7
LCM(3808,3815) = 2075360

Properties of LCM 3808 and 3815

(i) The LCM of 3815 and 3808 is associative

LCM of 3808 and 3815 = LCM of 3815 and 3808

Related Least Common Multiples of 3808

Related Least Common Multiples of 3815

Frequently Asked Questions on LCM of 3808 and 3815

1. What is the LCM of 3808 and 3815?

Answer: LCM of 3808 and 3815 is 2075360.

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 3815?

Answer: Factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815. There are 8 integers that are factors of 3815. The greatest factor of 3815 is 3815.

4. How to Find the LCM of 3808 and 3815?

Answer:

Least Common Multiple of 3808 and 3815 = 2075360

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 3815

3815 = 5 x 7 x 109

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

LCM = 2075360 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 17 x 109

Step 4: Therefore, the least common multiple of 3808 and 3815 is 2075360.