Least Common Multiple of 1349 and 1357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1349 and 1357 the smallest integer that is 1830593 that is divisible by both numbers.
Least Common Multiple (LCM) of 1349 and 1357 is 1830593.
LCM(1349,1357) = 1830593
LCM of 1349 and 1357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1349 and 1357 by Prime method
- Least Common Multiple of 1349 and 1357 with GCF Formula
LCM of 1349 and 1357 is 1830593
Least common multiple can be found by multiplying the highest exponent prime factors of 1349 and 1357. First we will calculate the prime factors of 1349 and 1357.
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
Prime Factorization of 1357
| 23 | 1357 |
| 59 | 59 |
| 1 |
Prime factors of 1357 are 23,59. Prime factorization of 1357 in exponential form is:
1357 = 231×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1349 and 1357.
LCM(1349,1357) = 191×231×591×711
LCM(1349,1357) = 1830593
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1, 19, 71, 1349
Factors of 1357
List of positive integer factors of 1357 that divides 1357 without a remainder.
1, 23, 59, 1357
Least Common Multiple of 1349 and 1357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1349 and 1357, than apply into the LCM equation.
GCF(1349,1357) = 1
LCM(1349,1357) = ( 1349 × 1357) / 1
LCM(1349,1357) = 1830593 / 1
LCM(1349,1357) = 1830593
Properties of LCM 1349 and 1357
(i) The LCM of 1357 and 1349 is associative
LCM of 1349 and 1357 = LCM of 1357 and 1349
Related Least Common Multiples of 1349
Related Least Common Multiples of 1357
Frequently Asked Questions on LCM of 1349 and 1357
1. What is the LCM of 1349 and 1357?
Answer: LCM of 1349 and 1357 is 1830593.
2. 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.
3. What are the Factors of 1357?
Answer: Factors of 1357 are 1, 23, 59, 1357. There are 4 integers that are factors of 1357. The greatest factor of 1357 is 1357.
4. How to Find the LCM of 1349 and 1357?
Answer:
Least Common Multiple of 1349 and 1357 = 1830593
Step 1: Find the prime factorization of 1349
1349 = 19 x 71
Step 2: Find the prime factorization of 1357
1357 = 23 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1830593 = 19 x 23 x 59 x 71
Step 4: Therefore, the least common multiple of 1349 and 1357 is 1830593.