Least Common Multiple of 3351 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 3351 and 3355 the smallest integer that is 11242605 that is divisible by both numbers.
Least Common Multiple (LCM) of 3351 and 3355 is 11242605.
LCM(3351,3355) = 11242605
LCM of 3351 and 3355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3351 and 3355 by Prime method
- Least Common Multiple of 3351 and 3355 with GCF Formula
LCM of 3351 and 3355 is 11242605
Least common multiple can be found by multiplying the highest exponent prime factors of 3351 and 3355. First we will calculate the prime factors of 3351 and 3355.
Prime Factorization of 3351
| 3 | 3351 |
| 1117 | 1117 |
| 1 |
Prime factors of 3351 are 3,1117. Prime factorization of 3351 in exponential form is:
3351 = 31×11171
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 3351 and 3355.
LCM(3351,3355) = 31×51×111×611×11171
LCM(3351,3355) = 11242605
Factors of 3351
List of positive integer factors of 3351 that divides 3351 without a remainder.
1, 3, 1117, 3351
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 3351 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 3351 and 3355, than apply into the LCM equation.
GCF(3351,3355) = 1
LCM(3351,3355) = ( 3351 × 3355) / 1
LCM(3351,3355) = 11242605 / 1
LCM(3351,3355) = 11242605
Properties of LCM 3351 and 3355
(i) The LCM of 3355 and 3351 is associative
LCM of 3351 and 3355 = LCM of 3355 and 3351
Related Least Common Multiples of 3351
Related Least Common Multiples of 3355
Frequently Asked Questions on LCM of 3351 and 3355
1. What is the LCM of 3351 and 3355?
Answer: LCM of 3351 and 3355 is 11242605.
2. What are the Factors of 3351?
Answer: Factors of 3351 are 1, 3, 1117, 3351. There are 4 integers that are factors of 3351. The greatest factor of 3351 is 3351.
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 3351 and 3355?
Answer:
Least Common Multiple of 3351 and 3355 = 11242605
Step 1: Find the prime factorization of 3351
3351 = 3 x 1117
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 = 11242605 = 3 x 5 x 11 x 61 x 1117
Step 4: Therefore, the least common multiple of 3351 and 3355 is 11242605.