Least Common Multiple of 4277 and 4283
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 4283 the smallest integer that is 18318391 that is divisible by both numbers.
Least Common Multiple (LCM) of 4277 and 4283 is 18318391.
LCM(4277,4283) = 18318391
LCM of 4277 and 4283
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4277 and 4283 by Prime method
- Least Common Multiple of 4277 and 4283 with GCF Formula
LCM of 4277 and 4283 is 18318391
Least common multiple can be found by multiplying the highest exponent prime factors of 4277 and 4283. First we will calculate the prime factors of 4277 and 4283.
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 4283
| 4283 | 4283 |
| 1 |
Prime factors of 4283 are 4283. Prime factorization of 4283 in exponential form is:
4283 = 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 4277 and 4283.
LCM(4277,4283) = 71×131×471×42831
LCM(4277,4283) = 18318391
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 4283
List of positive integer factors of 4283 that divides 4283 without a remainder.
1, 4283
Least Common Multiple of 4277 and 4283 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 4283, than apply into the LCM equation.
GCF(4277,4283) = 1
LCM(4277,4283) = ( 4277 × 4283) / 1
LCM(4277,4283) = 18318391 / 1
LCM(4277,4283) = 18318391
Properties of LCM 4277 and 4283
(i) The LCM of 4283 and 4277 is associative
LCM of 4277 and 4283 = LCM of 4283 and 4277
Related Least Common Multiples of 4277
Related Least Common Multiples of 4283
Frequently Asked Questions on LCM of 4277 and 4283
1. What is the LCM of 4277 and 4283?
Answer: LCM of 4277 and 4283 is 18318391.
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 4283?
Answer: Factors of 4283 are 1, 4283. There are 2 integers that are factors of 4283. The greatest factor of 4283 is 4283.
4. How to Find the LCM of 4277 and 4283?
Answer:
Least Common Multiple of 4277 and 4283 = 18318391
Step 1: Find the prime factorization of 4277
4277 = 7 x 13 x 47
Step 2: Find the prime factorization of 4283
4283 = 4283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18318391 = 7 x 13 x 47 x 4283
Step 4: Therefore, the least common multiple of 4277 and 4283 is 18318391.