Least Common Multiple of 1342 and 1349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1342 and 1349 the smallest integer that is 1810358 that is divisible by both numbers.
Least Common Multiple (LCM) of 1342 and 1349 is 1810358.
LCM(1342,1349) = 1810358
LCM of 1342 and 1349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1342 and 1349 by Prime method
- Least Common Multiple of 1342 and 1349 with GCF Formula
LCM of 1342 and 1349 is 1810358
Least common multiple can be found by multiplying the highest exponent prime factors of 1342 and 1349. First we will calculate the prime factors of 1342 and 1349.
Prime Factorization of 1342
| 2 | 1342 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 1342 are 2, 11,61. Prime factorization of 1342 in exponential form is:
1342 = 21×111×611
Prime Factorization of 1349
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 1349 are 19,71. Prime factorization of 1349 in exponential form is:
1349 = 191×711
Now multiplying the highest exponent prime factors to calculate the LCM of 1342 and 1349.
LCM(1342,1349) = 21×111×191×611×711
LCM(1342,1349) = 1810358
Factors of 1342
List of positive integer factors of 1342 that divides 1342 without a remainder.
1, 2, 11, 22, 61, 122, 671, 1342
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1, 19, 71, 1349
Least Common Multiple of 1342 and 1349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1342 and 1349, than apply into the LCM equation.
GCF(1342,1349) = 1
LCM(1342,1349) = ( 1342 × 1349) / 1
LCM(1342,1349) = 1810358 / 1
LCM(1342,1349) = 1810358
Properties of LCM 1342 and 1349
(i) The LCM of 1349 and 1342 is associative
LCM of 1342 and 1349 = LCM of 1349 and 1342
Related Least Common Multiples of 1342
Related Least Common Multiples of 1349
Frequently Asked Questions on LCM of 1342 and 1349
1. What is the LCM of 1342 and 1349?
Answer: LCM of 1342 and 1349 is 1810358.
2. What are the Factors of 1342?
Answer: Factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342. There are 8 integers that are factors of 1342. The greatest factor of 1342 is 1342.
3. What are the Factors of 1349?
Answer: Factors of 1349 are 1, 19, 71, 1349. There are 4 integers that are factors of 1349. The greatest factor of 1349 is 1349.
4. How to Find the LCM of 1342 and 1349?
Answer:
Least Common Multiple of 1342 and 1349 = 1810358
Step 1: Find the prime factorization of 1342
1342 = 2 x 11 x 61
Step 2: Find the prime factorization of 1349
1349 = 19 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1810358 = 2 x 11 x 19 x 61 x 71
Step 4: Therefore, the least common multiple of 1342 and 1349 is 1810358.