Least Common Multiple of 3354 and 3355
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 3355 the smallest integer that is 11252670 that is divisible by both numbers.
Least Common Multiple (LCM) of 3354 and 3355 is 11252670.
LCM(3354,3355) = 11252670
LCM of 3354 and 3355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3354 and 3355 by Prime method
- Least Common Multiple of 3354 and 3355 with GCF Formula
LCM of 3354 and 3355 is 11252670
Least common multiple can be found by multiplying the highest exponent prime factors of 3354 and 3355. First we will calculate the prime factors of 3354 and 3355.
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 3355
| 5 | 3355 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 3355 are 5, 11,61. Prime factorization of 3355 in exponential form is:
3355 = 51×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 3354 and 3355.
LCM(3354,3355) = 21×31×51×111×131×431×611
LCM(3354,3355) = 11252670
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 3355
List of positive integer factors of 3355 that divides 3355 without a remainder.
1, 5, 11, 55, 61, 305, 671, 3355
Least Common Multiple of 3354 and 3355 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 3355, than apply into the LCM equation.
GCF(3354,3355) = 1
LCM(3354,3355) = ( 3354 × 3355) / 1
LCM(3354,3355) = 11252670 / 1
LCM(3354,3355) = 11252670
Properties of LCM 3354 and 3355
(i) The LCM of 3355 and 3354 is associative
LCM of 3354 and 3355 = LCM of 3355 and 3354
Related Least Common Multiples of 3354
Related Least Common Multiples of 3355
Frequently Asked Questions on LCM of 3354 and 3355
1. What is the LCM of 3354 and 3355?
Answer: LCM of 3354 and 3355 is 11252670.
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 3355?
Answer: Factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355. There are 8 integers that are factors of 3355. The greatest factor of 3355 is 3355.
4. How to Find the LCM of 3354 and 3355?
Answer:
Least Common Multiple of 3354 and 3355 = 11252670
Step 1: Find the prime factorization of 3354
3354 = 2 x 3 x 13 x 43
Step 2: Find the prime factorization of 3355
3355 = 5 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11252670 = 2 x 3 x 5 x 11 x 13 x 43 x 61
Step 4: Therefore, the least common multiple of 3354 and 3355 is 11252670.