Least Common Multiple of 4277 and 4281
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4277 and 4281 the smallest integer that is 18309837 that is divisible by both numbers.
Least Common Multiple (LCM) of 4277 and 4281 is 18309837.
LCM(4277,4281) = 18309837
LCM of 4277 and 4281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4277 and 4281 by Prime method
- Least Common Multiple of 4277 and 4281 with GCF Formula
LCM of 4277 and 4281 is 18309837
Least common multiple can be found by multiplying the highest exponent prime factors of 4277 and 4281. First we will calculate the prime factors of 4277 and 4281.
Prime Factorization of 4277
| 7 | 4277 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 4277 are 7, 13,47. Prime factorization of 4277 in exponential form is:
4277 = 71×131×471
Prime Factorization of 4281
| 3 | 4281 |
| 1427 | 1427 |
| 1 |
Prime factors of 4281 are 3,1427. Prime factorization of 4281 in exponential form is:
4281 = 31×14271
Now multiplying the highest exponent prime factors to calculate the LCM of 4277 and 4281.
LCM(4277,4281) = 31×71×131×471×14271
LCM(4277,4281) = 18309837
Factors of 4277
List of positive integer factors of 4277 that divides 4277 without a remainder.
1, 7, 13, 47, 91, 329, 611, 4277
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
Least Common Multiple of 4277 and 4281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4277 and 4281, than apply into the LCM equation.
GCF(4277,4281) = 1
LCM(4277,4281) = ( 4277 × 4281) / 1
LCM(4277,4281) = 18309837 / 1
LCM(4277,4281) = 18309837
Properties of LCM 4277 and 4281
(i) The LCM of 4281 and 4277 is associative
LCM of 4277 and 4281 = LCM of 4281 and 4277
Related Least Common Multiples of 4277
Related Least Common Multiples of 4281
Frequently Asked Questions on LCM of 4277 and 4281
1. What is the LCM of 4277 and 4281?
Answer: LCM of 4277 and 4281 is 18309837.
2. What are the Factors of 4277?
Answer: Factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277. There are 8 integers that are factors of 4277. The greatest factor of 4277 is 4277.
3. What are the Factors of 4281?
Answer: Factors of 4281 are 1, 3, 1427, 4281. There are 4 integers that are factors of 4281. The greatest factor of 4281 is 4281.
4. How to Find the LCM of 4277 and 4281?
Answer:
Least Common Multiple of 4277 and 4281 = 18309837
Step 1: Find the prime factorization of 4277
4277 = 7 x 13 x 47
Step 2: Find the prime factorization of 4281
4281 = 3 x 1427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18309837 = 3 x 7 x 13 x 47 x 1427
Step 4: Therefore, the least common multiple of 4277 and 4281 is 18309837.