Least Common Multiple of 1239 and 1241
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 1241 the smallest integer that is 1537599 that is divisible by both numbers.
Least Common Multiple (LCM) of 1239 and 1241 is 1537599.
LCM(1239,1241) = 1537599
LCM of 1239 and 1241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1239 and 1241 by Prime method
- Least Common Multiple of 1239 and 1241 with GCF Formula
LCM of 1239 and 1241 is 1537599
Least common multiple can be found by multiplying the highest exponent prime factors of 1239 and 1241. First we will calculate the prime factors of 1239 and 1241.
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 1241
| 17 | 1241 |
| 73 | 73 |
| 1 |
Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:
1241 = 171×731
Now multiplying the highest exponent prime factors to calculate the LCM of 1239 and 1241.
LCM(1239,1241) = 31×71×171×591×731
LCM(1239,1241) = 1537599
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 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1, 17, 73, 1241
Least Common Multiple of 1239 and 1241 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 1241, than apply into the LCM equation.
GCF(1239,1241) = 1
LCM(1239,1241) = ( 1239 × 1241) / 1
LCM(1239,1241) = 1537599 / 1
LCM(1239,1241) = 1537599
Properties of LCM 1239 and 1241
(i) The LCM of 1241 and 1239 is associative
LCM of 1239 and 1241 = LCM of 1241 and 1239
Related Least Common Multiples of 1239
Related Least Common Multiples of 1241
Frequently Asked Questions on LCM of 1239 and 1241
1. What is the LCM of 1239 and 1241?
Answer: LCM of 1239 and 1241 is 1537599.
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 1241?
Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.
4. How to Find the LCM of 1239 and 1241?
Answer:
Least Common Multiple of 1239 and 1241 = 1537599
Step 1: Find the prime factorization of 1239
1239 = 3 x 7 x 59
Step 2: Find the prime factorization of 1241
1241 = 17 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1537599 = 3 x 7 x 17 x 59 x 73
Step 4: Therefore, the least common multiple of 1239 and 1241 is 1537599.