Least Common Multiple of 4239 and 4247
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4239 and 4247 the smallest integer that is 18003033 that is divisible by both numbers.
Least Common Multiple (LCM) of 4239 and 4247 is 18003033.
LCM(4239,4247) = 18003033
LCM of 4239 and 4247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4239 and 4247 by Prime method
- Least Common Multiple of 4239 and 4247 with GCF Formula
LCM of 4239 and 4247 is 18003033
Least common multiple can be found by multiplying the highest exponent prime factors of 4239 and 4247. First we will calculate the prime factors of 4239 and 4247.
Prime Factorization of 4239
| 3 | 4239 |
| 3 | 1413 |
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 4239 are 3,157. Prime factorization of 4239 in exponential form is:
4239 = 33×1571
Prime Factorization of 4247
| 31 | 4247 |
| 137 | 137 |
| 1 |
Prime factors of 4247 are 31,137. Prime factorization of 4247 in exponential form is:
4247 = 311×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4239 and 4247.
LCM(4239,4247) = 33×311×1371×1571
LCM(4239,4247) = 18003033
Factors of 4239
List of positive integer factors of 4239 that divides 4239 without a remainder.
1, 3, 9, 27, 157, 471, 1413, 4239
Factors of 4247
List of positive integer factors of 4247 that divides 4247 without a remainder.
1, 31, 137, 4247
Least Common Multiple of 4239 and 4247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4239 and 4247, than apply into the LCM equation.
GCF(4239,4247) = 1
LCM(4239,4247) = ( 4239 × 4247) / 1
LCM(4239,4247) = 18003033 / 1
LCM(4239,4247) = 18003033
Properties of LCM 4239 and 4247
(i) The LCM of 4247 and 4239 is associative
LCM of 4239 and 4247 = LCM of 4247 and 4239
Related Least Common Multiples of 4239
Related Least Common Multiples of 4247
Frequently Asked Questions on LCM of 4239 and 4247
1. What is the LCM of 4239 and 4247?
Answer: LCM of 4239 and 4247 is 18003033.
2. What are the Factors of 4239?
Answer: Factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239. There are 8 integers that are factors of 4239. The greatest factor of 4239 is 4239.
3. What are the Factors of 4247?
Answer: Factors of 4247 are 1, 31, 137, 4247. There are 4 integers that are factors of 4247. The greatest factor of 4247 is 4247.
4. How to Find the LCM of 4239 and 4247?
Answer:
Least Common Multiple of 4239 and 4247 = 18003033
Step 1: Find the prime factorization of 4239
4239 = 3 x 3 x 3 x 157
Step 2: Find the prime factorization of 4247
4247 = 31 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18003033 = 3 x 3 x 3 x 31 x 137 x 157
Step 4: Therefore, the least common multiple of 4239 and 4247 is 18003033.