Least Common Multiple of 1239 and 1247
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1239 and 1247 the smallest integer that is 1545033 that is divisible by both numbers.
Least Common Multiple (LCM) of 1239 and 1247 is 1545033.
LCM(1239,1247) = 1545033
LCM of 1239 and 1247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1239 and 1247 by Prime method
- Least Common Multiple of 1239 and 1247 with GCF Formula
LCM of 1239 and 1247 is 1545033
Least common multiple can be found by multiplying the highest exponent prime factors of 1239 and 1247. First we will calculate the prime factors of 1239 and 1247.
Prime Factorization of 1239
| 3 | 1239 |
| 7 | 413 |
| 59 | 59 |
| 1 |
Prime factors of 1239 are 3, 7,59. Prime factorization of 1239 in exponential form is:
1239 = 31×71×591
Prime Factorization of 1247
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:
1247 = 291×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1239 and 1247.
LCM(1239,1247) = 31×71×291×431×591
LCM(1239,1247) = 1545033
Factors of 1239
List of positive integer factors of 1239 that divides 1239 without a remainder.
1, 3, 7, 21, 59, 177, 413, 1239
Factors of 1247
List of positive integer factors of 1247 that divides 1247 without a remainder.
1, 29, 43, 1247
Least Common Multiple of 1239 and 1247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1239 and 1247, than apply into the LCM equation.
GCF(1239,1247) = 1
LCM(1239,1247) = ( 1239 × 1247) / 1
LCM(1239,1247) = 1545033 / 1
LCM(1239,1247) = 1545033
Properties of LCM 1239 and 1247
(i) The LCM of 1247 and 1239 is associative
LCM of 1239 and 1247 = LCM of 1247 and 1239
Related Least Common Multiples of 1239
Related Least Common Multiples of 1247
Frequently Asked Questions on LCM of 1239 and 1247
1. What is the LCM of 1239 and 1247?
Answer: LCM of 1239 and 1247 is 1545033.
2. What are the Factors of 1239?
Answer: Factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239. There are 8 integers that are factors of 1239. The greatest factor of 1239 is 1239.
3. What are the Factors of 1247?
Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.
4. How to Find the LCM of 1239 and 1247?
Answer:
Least Common Multiple of 1239 and 1247 = 1545033
Step 1: Find the prime factorization of 1239
1239 = 3 x 7 x 59
Step 2: Find the prime factorization of 1247
1247 = 29 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1545033 = 3 x 7 x 29 x 43 x 59
Step 4: Therefore, the least common multiple of 1239 and 1247 is 1545033.