Least Common Multiple of 3410 and 3417
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3410 and 3417 the smallest integer that is 11651970 that is divisible by both numbers.
Least Common Multiple (LCM) of 3410 and 3417 is 11651970.
LCM(3410,3417) = 11651970
LCM of 3410 and 3417
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3410 and 3417 by Prime method
- Least Common Multiple of 3410 and 3417 with GCF Formula
LCM of 3410 and 3417 is 11651970
Least common multiple can be found by multiplying the highest exponent prime factors of 3410 and 3417. First we will calculate the prime factors of 3410 and 3417.
Prime Factorization of 3410
| 2 | 3410 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 3410 are 2, 5, 11,31. Prime factorization of 3410 in exponential form is:
3410 = 21×51×111×311
Prime Factorization of 3417
| 3 | 3417 |
| 17 | 1139 |
| 67 | 67 |
| 1 |
Prime factors of 3417 are 3, 17,67. Prime factorization of 3417 in exponential form is:
3417 = 31×171×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3410 and 3417.
LCM(3410,3417) = 21×31×51×111×171×311×671
LCM(3410,3417) = 11651970
Factors of 3410
List of positive integer factors of 3410 that divides 3410 without a remainder.
1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
Factors of 3417
List of positive integer factors of 3417 that divides 3417 without a remainder.
1, 3, 17, 51, 67, 201, 1139, 3417
Least Common Multiple of 3410 and 3417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3410 and 3417, than apply into the LCM equation.
GCF(3410,3417) = 1
LCM(3410,3417) = ( 3410 × 3417) / 1
LCM(3410,3417) = 11651970 / 1
LCM(3410,3417) = 11651970
Properties of LCM 3410 and 3417
(i) The LCM of 3417 and 3410 is associative
LCM of 3410 and 3417 = LCM of 3417 and 3410
Related Least Common Multiples of 3410
Related Least Common Multiples of 3417
Frequently Asked Questions on LCM of 3410 and 3417
1. What is the LCM of 3410 and 3417?
Answer: LCM of 3410 and 3417 is 11651970.
2. What are the Factors of 3410?
Answer: Factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. There are 16 integers that are factors of 3410. The greatest factor of 3410 is 3410.
3. What are the Factors of 3417?
Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.
4. How to Find the LCM of 3410 and 3417?
Answer:
Least Common Multiple of 3410 and 3417 = 11651970
Step 1: Find the prime factorization of 3410
3410 = 2 x 5 x 11 x 31
Step 2: Find the prime factorization of 3417
3417 = 3 x 17 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11651970 = 2 x 3 x 5 x 11 x 17 x 31 x 67
Step 4: Therefore, the least common multiple of 3410 and 3417 is 11651970.