Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3848 and 3854 the smallest integer that is 7415096 that is divisible by both numbers.
Least Common Multiple (LCM) of 3848 and 3854 is 7415096.
LCM(3848,3854) = 7415096
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 3848 and 3854. First we will calculate the prime factors of 3848 and 3854.
Prime Factorization of 3848
2 | 3848 |
2 | 1924 |
2 | 962 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 3848 are 2, 13,37. Prime factorization of 3848 in exponential form is:
3848 = 23×131×371
Prime Factorization of 3854
2 | 3854 |
41 | 1927 |
47 | 47 |
1 |
Prime factors of 3854 are 2, 41,47. Prime factorization of 3854 in exponential form is:
3854 = 21×411×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3848 and 3854.
LCM(3848,3854) = 23×131×371×411×471
LCM(3848,3854) = 7415096
Factors of 3848
List of positive integer factors of 3848 that divides 3848 without a remainder.
1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848
Factors of 3854
List of positive integer factors of 3854 that divides 3854 without a remainder.
1, 2, 41, 47, 82, 94, 1927, 3854
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3848 and 3854, than apply into the LCM equation.
GCF(3848,3854) = 2
LCM(3848,3854) = ( 3848 × 3854) / 2
LCM(3848,3854) = 14830192 / 2
LCM(3848,3854) = 7415096
(i) The LCM of 3854 and 3848 is associative
LCM of 3848 and 3854 = LCM of 3854 and 3848
1. What is the LCM of 3848 and 3854?
Answer: LCM of 3848 and 3854 is 7415096.
2. What are the Factors of 3848?
Answer: Factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848. There are 16 integers that are factors of 3848. The greatest factor of 3848 is 3848.
3. What are the Factors of 3854?
Answer: Factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854. There are 8 integers that are factors of 3854. The greatest factor of 3854 is 3854.
4. How to Find the LCM of 3848 and 3854?
Answer:
Least Common Multiple of 3848 and 3854 = 7415096
Step 1: Find the prime factorization of 3848
3848 = 2 x 2 x 2 x 13 x 37
Step 2: Find the prime factorization of 3854
3854 = 2 x 41 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7415096 = 2 x 2 x 2 x 13 x 37 x 41 x 47
Step 4: Therefore, the least common multiple of 3848 and 3854 is 7415096.