Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3851 and 3855 the smallest integer that is 14845605 that is divisible by both numbers.
Least Common Multiple (LCM) of 3851 and 3855 is 14845605.
LCM(3851,3855) = 14845605
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 3851 and 3855. First we will calculate the prime factors of 3851 and 3855.
Prime Factorization of 3851
3851 | 3851 |
1 |
Prime factors of 3851 are 3851. Prime factorization of 3851 in exponential form is:
3851 = 38511
Prime Factorization of 3855
3 | 3855 |
5 | 1285 |
257 | 257 |
1 |
Prime factors of 3855 are 3, 5,257. Prime factorization of 3855 in exponential form is:
3855 = 31×51×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 3851 and 3855.
LCM(3851,3855) = 31×51×2571×38511
LCM(3851,3855) = 14845605
Factors of 3851
List of positive integer factors of 3851 that divides 3851 without a remainder.
1, 3851
Factors of 3855
List of positive integer factors of 3855 that divides 3855 without a remainder.
1, 3, 5, 15, 257, 771, 1285, 3855
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3851 and 3855, than apply into the LCM equation.
GCF(3851,3855) = 1
LCM(3851,3855) = ( 3851 × 3855) / 1
LCM(3851,3855) = 14845605 / 1
LCM(3851,3855) = 14845605
(i) The LCM of 3855 and 3851 is associative
LCM of 3851 and 3855 = LCM of 3855 and 3851
1. What is the LCM of 3851 and 3855?
Answer: LCM of 3851 and 3855 is 14845605.
2. What are the Factors of 3851?
Answer: Factors of 3851 are 1, 3851. There are 2 integers that are factors of 3851. The greatest factor of 3851 is 3851.
3. What are the Factors of 3855?
Answer: Factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855. There are 8 integers that are factors of 3855. The greatest factor of 3855 is 3855.
4. How to Find the LCM of 3851 and 3855?
Answer:
Least Common Multiple of 3851 and 3855 = 14845605
Step 1: Find the prime factorization of 3851
3851 = 3851
Step 2: Find the prime factorization of 3855
3855 = 3 x 5 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14845605 = 3 x 5 x 257 x 3851
Step 4: Therefore, the least common multiple of 3851 and 3855 is 14845605.