Least Common Multiple of 3857 and 3863
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3857 and 3863 the smallest integer that is 14899591 that is divisible by both numbers.
Least Common Multiple (LCM) of 3857 and 3863 is 14899591.
LCM(3857,3863) = 14899591
LCM of 3857 and 3863
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3857 and 3863 by Prime method
- Least Common Multiple of 3857 and 3863 with GCF Formula
LCM of 3857 and 3863 is 14899591
Least common multiple can be found by multiplying the highest exponent prime factors of 3857 and 3863. First we will calculate the prime factors of 3857 and 3863.
Prime Factorization of 3857
| 7 | 3857 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 3857 are 7, 19,29. Prime factorization of 3857 in exponential form is:
3857 = 71×191×291
Prime Factorization of 3863
| 3863 | 3863 |
| 1 |
Prime factors of 3863 are 3863. Prime factorization of 3863 in exponential form is:
3863 = 38631
Now multiplying the highest exponent prime factors to calculate the LCM of 3857 and 3863.
LCM(3857,3863) = 71×191×291×38631
LCM(3857,3863) = 14899591
Factors of 3857
List of positive integer factors of 3857 that divides 3857 without a remainder.
1, 7, 19, 29, 133, 203, 551, 3857
Factors of 3863
List of positive integer factors of 3863 that divides 3863 without a remainder.
1, 3863
Least Common Multiple of 3857 and 3863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3857 and 3863, than apply into the LCM equation.
GCF(3857,3863) = 1
LCM(3857,3863) = ( 3857 × 3863) / 1
LCM(3857,3863) = 14899591 / 1
LCM(3857,3863) = 14899591
Properties of LCM 3857 and 3863
(i) The LCM of 3863 and 3857 is associative
LCM of 3857 and 3863 = LCM of 3863 and 3857
Related Least Common Multiples of 3857
Related Least Common Multiples of 3863
Frequently Asked Questions on LCM of 3857 and 3863
1. What is the LCM of 3857 and 3863?
Answer: LCM of 3857 and 3863 is 14899591.
2. What are the Factors of 3857?
Answer: Factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857. There are 8 integers that are factors of 3857. The greatest factor of 3857 is 3857.
3. What are the Factors of 3863?
Answer: Factors of 3863 are 1, 3863. There are 2 integers that are factors of 3863. The greatest factor of 3863 is 3863.
4. How to Find the LCM of 3857 and 3863?
Answer:
Least Common Multiple of 3857 and 3863 = 14899591
Step 1: Find the prime factorization of 3857
3857 = 7 x 19 x 29
Step 2: Find the prime factorization of 3863
3863 = 3863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14899591 = 7 x 19 x 29 x 3863
Step 4: Therefore, the least common multiple of 3857 and 3863 is 14899591.