Least Common Multiple of 3354 and 3359
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3354 and 3359 the smallest integer that is 11266086 that is divisible by both numbers.
Least Common Multiple (LCM) of 3354 and 3359 is 11266086.
LCM(3354,3359) = 11266086
LCM of 3354 and 3359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3354 and 3359 by Prime method
- Least Common Multiple of 3354 and 3359 with GCF Formula
LCM of 3354 and 3359 is 11266086
Least common multiple can be found by multiplying the highest exponent prime factors of 3354 and 3359. First we will calculate the prime factors of 3354 and 3359.
Prime Factorization of 3354
| 2 | 3354 |
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 3354 are 2, 3, 13,43. Prime factorization of 3354 in exponential form is:
3354 = 21×31×131×431
Prime Factorization of 3359
| 3359 | 3359 |
| 1 |
Prime factors of 3359 are 3359. Prime factorization of 3359 in exponential form is:
3359 = 33591
Now multiplying the highest exponent prime factors to calculate the LCM of 3354 and 3359.
LCM(3354,3359) = 21×31×131×431×33591
LCM(3354,3359) = 11266086
Factors of 3354
List of positive integer factors of 3354 that divides 3354 without a remainder.
1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354
Factors of 3359
List of positive integer factors of 3359 that divides 3359 without a remainder.
1, 3359
Least Common Multiple of 3354 and 3359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3354 and 3359, than apply into the LCM equation.
GCF(3354,3359) = 1
LCM(3354,3359) = ( 3354 × 3359) / 1
LCM(3354,3359) = 11266086 / 1
LCM(3354,3359) = 11266086
Properties of LCM 3354 and 3359
(i) The LCM of 3359 and 3354 is associative
LCM of 3354 and 3359 = LCM of 3359 and 3354
Related Least Common Multiples of 3354
Related Least Common Multiples of 3359
Frequently Asked Questions on LCM of 3354 and 3359
1. What is the LCM of 3354 and 3359?
Answer: LCM of 3354 and 3359 is 11266086.
2. What are the Factors of 3354?
Answer: Factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354. There are 16 integers that are factors of 3354. The greatest factor of 3354 is 3354.
3. What are the Factors of 3359?
Answer: Factors of 3359 are 1, 3359. There are 2 integers that are factors of 3359. The greatest factor of 3359 is 3359.
4. How to Find the LCM of 3354 and 3359?
Answer:
Least Common Multiple of 3354 and 3359 = 11266086
Step 1: Find the prime factorization of 3354
3354 = 2 x 3 x 13 x 43
Step 2: Find the prime factorization of 3359
3359 = 3359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11266086 = 2 x 3 x 13 x 43 x 3359
Step 4: Therefore, the least common multiple of 3354 and 3359 is 11266086.