Least Common Multiple of 1349 and 1354
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 1354 the smallest integer that is 1826546 that is divisible by both numbers.
Least Common Multiple (LCM) of 1349 and 1354 is 1826546.
LCM(1349,1354) = 1826546
LCM of 1349 and 1354
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1349 and 1354 by Prime method
- Least Common Multiple of 1349 and 1354 with GCF Formula
LCM of 1349 and 1354 is 1826546
Least common multiple can be found by multiplying the highest exponent prime factors of 1349 and 1354. First we will calculate the prime factors of 1349 and 1354.
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 1354
| 2 | 1354 |
| 677 | 677 |
| 1 |
Prime factors of 1354 are 2,677. Prime factorization of 1354 in exponential form is:
1354 = 21×6771
Now multiplying the highest exponent prime factors to calculate the LCM of 1349 and 1354.
LCM(1349,1354) = 21×191×711×6771
LCM(1349,1354) = 1826546
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1, 19, 71, 1349
Factors of 1354
List of positive integer factors of 1354 that divides 1354 without a remainder.
1, 2, 677, 1354
Least Common Multiple of 1349 and 1354 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 1354, than apply into the LCM equation.
GCF(1349,1354) = 1
LCM(1349,1354) = ( 1349 × 1354) / 1
LCM(1349,1354) = 1826546 / 1
LCM(1349,1354) = 1826546
Properties of LCM 1349 and 1354
(i) The LCM of 1354 and 1349 is associative
LCM of 1349 and 1354 = LCM of 1354 and 1349
Related Least Common Multiples of 1349
Related Least Common Multiples of 1354
Frequently Asked Questions on LCM of 1349 and 1354
1. What is the LCM of 1349 and 1354?
Answer: LCM of 1349 and 1354 is 1826546.
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 1354?
Answer: Factors of 1354 are 1, 2, 677, 1354. There are 4 integers that are factors of 1354. The greatest factor of 1354 is 1354.
4. How to Find the LCM of 1349 and 1354?
Answer:
Least Common Multiple of 1349 and 1354 = 1826546
Step 1: Find the prime factorization of 1349
1349 = 19 x 71
Step 2: Find the prime factorization of 1354
1354 = 2 x 677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1826546 = 2 x 19 x 71 x 677
Step 4: Therefore, the least common multiple of 1349 and 1354 is 1826546.