Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3847 and 3851 the smallest integer that is 14814797 that is divisible by both numbers.
Least Common Multiple (LCM) of 3847 and 3851 is 14814797.
LCM(3847,3851) = 14814797
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 3847 and 3851. First we will calculate the prime factors of 3847 and 3851.
Prime Factorization of 3847
3847 | 3847 |
1 |
Prime factors of 3847 are 3847. Prime factorization of 3847 in exponential form is:
3847 = 38471
Prime Factorization of 3851
3851 | 3851 |
1 |
Prime factors of 3851 are 3851. Prime factorization of 3851 in exponential form is:
3851 = 38511
Now multiplying the highest exponent prime factors to calculate the LCM of 3847 and 3851.
LCM(3847,3851) = 38471×38511
LCM(3847,3851) = 14814797
Factors of 3847
List of positive integer factors of 3847 that divides 3847 without a remainder.
1, 3847
Factors of 3851
List of positive integer factors of 3851 that divides 3851 without a remainder.
1, 3851
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3847 and 3851, than apply into the LCM equation.
GCF(3847,3851) = 1
LCM(3847,3851) = ( 3847 × 3851) / 1
LCM(3847,3851) = 14814797 / 1
LCM(3847,3851) = 14814797
(i) The LCM of 3851 and 3847 is associative
LCM of 3847 and 3851 = LCM of 3851 and 3847
1. What is the LCM of 3847 and 3851?
Answer: LCM of 3847 and 3851 is 14814797.
2. What are the Factors of 3847?
Answer: Factors of 3847 are 1, 3847. There are 2 integers that are factors of 3847. The greatest factor of 3847 is 3847.
3. 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.
4. How to Find the LCM of 3847 and 3851?
Answer:
Least Common Multiple of 3847 and 3851 = 14814797
Step 1: Find the prime factorization of 3847
3847 = 3847
Step 2: Find the prime factorization of 3851
3851 = 3851
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14814797 = 3847 x 3851
Step 4: Therefore, the least common multiple of 3847 and 3851 is 14814797.