Least Common Multiple of 1239 and 1243
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 1243 the smallest integer that is 1540077 that is divisible by both numbers.
Least Common Multiple (LCM) of 1239 and 1243 is 1540077.
LCM(1239,1243) = 1540077
LCM of 1239 and 1243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1239 and 1243 by Prime method
- Least Common Multiple of 1239 and 1243 with GCF Formula
LCM of 1239 and 1243 is 1540077
Least common multiple can be found by multiplying the highest exponent prime factors of 1239 and 1243. First we will calculate the prime factors of 1239 and 1243.
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 1243
| 11 | 1243 |
| 113 | 113 |
| 1 |
Prime factors of 1243 are 11,113. Prime factorization of 1243 in exponential form is:
1243 = 111×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 1239 and 1243.
LCM(1239,1243) = 31×71×111×591×1131
LCM(1239,1243) = 1540077
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 1243
List of positive integer factors of 1243 that divides 1243 without a remainder.
1, 11, 113, 1243
Least Common Multiple of 1239 and 1243 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 1243, than apply into the LCM equation.
GCF(1239,1243) = 1
LCM(1239,1243) = ( 1239 × 1243) / 1
LCM(1239,1243) = 1540077 / 1
LCM(1239,1243) = 1540077
Properties of LCM 1239 and 1243
(i) The LCM of 1243 and 1239 is associative
LCM of 1239 and 1243 = LCM of 1243 and 1239
Related Least Common Multiples of 1239
Related Least Common Multiples of 1243
Frequently Asked Questions on LCM of 1239 and 1243
1. What is the LCM of 1239 and 1243?
Answer: LCM of 1239 and 1243 is 1540077.
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 1243?
Answer: Factors of 1243 are 1, 11, 113, 1243. There are 4 integers that are factors of 1243. The greatest factor of 1243 is 1243.
4. How to Find the LCM of 1239 and 1243?
Answer:
Least Common Multiple of 1239 and 1243 = 1540077
Step 1: Find the prime factorization of 1239
1239 = 3 x 7 x 59
Step 2: Find the prime factorization of 1243
1243 = 11 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1540077 = 3 x 7 x 11 x 59 x 113
Step 4: Therefore, the least common multiple of 1239 and 1243 is 1540077.