Least Common Multiple of 3353 and 3357
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 3357 the smallest integer that is 11256021 that is divisible by both numbers.
Least Common Multiple (LCM) of 3353 and 3357 is 11256021.
LCM(3353,3357) = 11256021
LCM of 3353 and 3357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3353 and 3357 by Prime method
- Least Common Multiple of 3353 and 3357 with GCF Formula
LCM of 3353 and 3357 is 11256021
Least common multiple can be found by multiplying the highest exponent prime factors of 3353 and 3357. First we will calculate the prime factors of 3353 and 3357.
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 3357
| 3 | 3357 |
| 3 | 1119 |
| 373 | 373 |
| 1 |
Prime factors of 3357 are 3,373. Prime factorization of 3357 in exponential form is:
3357 = 32×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 3353 and 3357.
LCM(3353,3357) = 32×71×3731×4791
LCM(3353,3357) = 11256021
Factors of 3353
List of positive integer factors of 3353 that divides 3353 without a remainder.
1, 7, 479, 3353
Factors of 3357
List of positive integer factors of 3357 that divides 3357 without a remainder.
1, 3, 9, 373, 1119, 3357
Least Common Multiple of 3353 and 3357 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 3357, than apply into the LCM equation.
GCF(3353,3357) = 1
LCM(3353,3357) = ( 3353 × 3357) / 1
LCM(3353,3357) = 11256021 / 1
LCM(3353,3357) = 11256021
Properties of LCM 3353 and 3357
(i) The LCM of 3357 and 3353 is associative
LCM of 3353 and 3357 = LCM of 3357 and 3353
Related Least Common Multiples of 3353
Related Least Common Multiples of 3357
Frequently Asked Questions on LCM of 3353 and 3357
1. What is the LCM of 3353 and 3357?
Answer: LCM of 3353 and 3357 is 11256021.
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 3357?
Answer: Factors of 3357 are 1, 3, 9, 373, 1119, 3357. There are 6 integers that are factors of 3357. The greatest factor of 3357 is 3357.
4. How to Find the LCM of 3353 and 3357?
Answer:
Least Common Multiple of 3353 and 3357 = 11256021
Step 1: Find the prime factorization of 3353
3353 = 7 x 479
Step 2: Find the prime factorization of 3357
3357 = 3 x 3 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11256021 = 3 x 3 x 7 x 373 x 479
Step 4: Therefore, the least common multiple of 3353 and 3357 is 11256021.