Least Common Multiple of 3353 and 3358
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3353 and 3358 the smallest integer that is 11259374 that is divisible by both numbers.
Least Common Multiple (LCM) of 3353 and 3358 is 11259374.
LCM(3353,3358) = 11259374
LCM of 3353 and 3358
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3353 and 3358 by Prime method
- Least Common Multiple of 3353 and 3358 with GCF Formula
LCM of 3353 and 3358 is 11259374
Least common multiple can be found by multiplying the highest exponent prime factors of 3353 and 3358. First we will calculate the prime factors of 3353 and 3358.
Prime Factorization of 3353
| 7 | 3353 |
| 479 | 479 |
| 1 |
Prime factors of 3353 are 7,479. Prime factorization of 3353 in exponential form is:
3353 = 71×4791
Prime Factorization of 3358
| 2 | 3358 |
| 23 | 1679 |
| 73 | 73 |
| 1 |
Prime factors of 3358 are 2, 23,73. Prime factorization of 3358 in exponential form is:
3358 = 21×231×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3353 and 3358.
LCM(3353,3358) = 21×71×231×731×4791
LCM(3353,3358) = 11259374
Factors of 3353
List of positive integer factors of 3353 that divides 3353 without a remainder.
1, 7, 479, 3353
Factors of 3358
List of positive integer factors of 3358 that divides 3358 without a remainder.
1, 2, 23, 46, 73, 146, 1679, 3358
Least Common Multiple of 3353 and 3358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3353 and 3358, than apply into the LCM equation.
GCF(3353,3358) = 1
LCM(3353,3358) = ( 3353 × 3358) / 1
LCM(3353,3358) = 11259374 / 1
LCM(3353,3358) = 11259374
Properties of LCM 3353 and 3358
(i) The LCM of 3358 and 3353 is associative
LCM of 3353 and 3358 = LCM of 3358 and 3353
Related Least Common Multiples of 3353
Related Least Common Multiples of 3358
Frequently Asked Questions on LCM of 3353 and 3358
1. What is the LCM of 3353 and 3358?
Answer: LCM of 3353 and 3358 is 11259374.
2. What are the Factors of 3353?
Answer: Factors of 3353 are 1, 7, 479, 3353. There are 4 integers that are factors of 3353. The greatest factor of 3353 is 3353.
3. What are the Factors of 3358?
Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.
4. How to Find the LCM of 3353 and 3358?
Answer:
Least Common Multiple of 3353 and 3358 = 11259374
Step 1: Find the prime factorization of 3353
3353 = 7 x 479
Step 2: Find the prime factorization of 3358
3358 = 2 x 23 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 = 11259374 = 2 x 7 x 23 x 73 x 479
Step 4: Therefore, the least common multiple of 3353 and 3358 is 11259374.