Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3803 and 3808 the smallest integer that is 14481824 that is divisible by both numbers.
Least Common Multiple (LCM) of 3803 and 3808 is 14481824.
LCM(3803,3808) = 14481824
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3803 and 3808. First we will calculate the prime factors of 3803 and 3808.
Prime Factorization of 3803
3803 | 3803 |
1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3803 and 3808.
LCM(3803,3808) = 25×71×171×38031
LCM(3803,3808) = 14481824
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1, 3803
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3803 and 3808, than apply into the LCM equation.
GCF(3803,3808) = 1
LCM(3803,3808) = ( 3803 × 3808) / 1
LCM(3803,3808) = 14481824 / 1
LCM(3803,3808) = 14481824
(i) The LCM of 3808 and 3803 is associative
LCM of 3803 and 3808 = LCM of 3808 and 3803
1. What is the LCM of 3803 and 3808?
Answer: LCM of 3803 and 3808 is 14481824.
2. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
3. 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.
4. How to Find the LCM of 3803 and 3808?
Answer:
Least Common Multiple of 3803 and 3808 = 14481824
Step 1: Find the prime factorization of 3803
3803 = 3803
Step 2: Find the prime factorization of 3808
3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14481824 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 3803
Step 4: Therefore, the least common multiple of 3803 and 3808 is 14481824.