Least Common Multiple of 4271 and 4278
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4271 and 4278 the smallest integer that is 18271338 that is divisible by both numbers.
Least Common Multiple (LCM) of 4271 and 4278 is 18271338.
LCM(4271,4278) = 18271338
LCM of 4271 and 4278
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4271 and 4278 by Prime method
- Least Common Multiple of 4271 and 4278 with GCF Formula
LCM of 4271 and 4278 is 18271338
Least common multiple can be found by multiplying the highest exponent prime factors of 4271 and 4278. First we will calculate the prime factors of 4271 and 4278.
Prime Factorization of 4271
| 4271 | 4271 |
| 1 |
Prime factors of 4271 are 4271. Prime factorization of 4271 in exponential form is:
4271 = 42711
Prime Factorization of 4278
| 2 | 4278 |
| 3 | 2139 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 4278 are 2, 3, 23,31. Prime factorization of 4278 in exponential form is:
4278 = 21×31×231×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4271 and 4278.
LCM(4271,4278) = 21×31×231×311×42711
LCM(4271,4278) = 18271338
Factors of 4271
List of positive integer factors of 4271 that divides 4271 without a remainder.
1, 4271
Factors of 4278
List of positive integer factors of 4278 that divides 4278 without a remainder.
1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
Least Common Multiple of 4271 and 4278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4271 and 4278, than apply into the LCM equation.
GCF(4271,4278) = 1
LCM(4271,4278) = ( 4271 × 4278) / 1
LCM(4271,4278) = 18271338 / 1
LCM(4271,4278) = 18271338
Properties of LCM 4271 and 4278
(i) The LCM of 4278 and 4271 is associative
LCM of 4271 and 4278 = LCM of 4278 and 4271
Related Least Common Multiples of 4271
Related Least Common Multiples of 4278
Frequently Asked Questions on LCM of 4271 and 4278
1. What is the LCM of 4271 and 4278?
Answer: LCM of 4271 and 4278 is 18271338.
2. What are the Factors of 4271?
Answer: Factors of 4271 are 1, 4271. There are 2 integers that are factors of 4271. The greatest factor of 4271 is 4271.
3. What are the Factors of 4278?
Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.
4. How to Find the LCM of 4271 and 4278?
Answer:
Least Common Multiple of 4271 and 4278 = 18271338
Step 1: Find the prime factorization of 4271
4271 = 4271
Step 2: Find the prime factorization of 4278
4278 = 2 x 3 x 23 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18271338 = 2 x 3 x 23 x 31 x 4271
Step 4: Therefore, the least common multiple of 4271 and 4278 is 18271338.