Least Common Multiple of 3290 and 3297
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3290 and 3297 the smallest integer that is 1549590 that is divisible by both numbers.
Least Common Multiple (LCM) of 3290 and 3297 is 1549590.
LCM(3290,3297) = 1549590
LCM of 3290 and 3297
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3290 and 3297 by Prime method
- Least Common Multiple of 3290 and 3297 with GCF Formula
LCM of 3290 and 3297 is 1549590
Least common multiple can be found by multiplying the highest exponent prime factors of 3290 and 3297. First we will calculate the prime factors of 3290 and 3297.
Prime Factorization of 3290
| 2 | 3290 |
| 5 | 1645 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 3290 are 2, 5, 7,47. Prime factorization of 3290 in exponential form is:
3290 = 21×51×71×471
Prime Factorization of 3297
| 3 | 3297 |
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 3297 are 3, 7,157. Prime factorization of 3297 in exponential form is:
3297 = 31×71×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 3290 and 3297.
LCM(3290,3297) = 21×31×51×71×471×1571
LCM(3290,3297) = 1549590
Factors of 3290
List of positive integer factors of 3290 that divides 3290 without a remainder.
1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
Factors of 3297
List of positive integer factors of 3297 that divides 3297 without a remainder.
1, 3, 7, 21, 157, 471, 1099, 3297
Least Common Multiple of 3290 and 3297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3290 and 3297, than apply into the LCM equation.
GCF(3290,3297) = 7
LCM(3290,3297) = ( 3290 × 3297) / 7
LCM(3290,3297) = 10847130 / 7
LCM(3290,3297) = 1549590
Properties of LCM 3290 and 3297
(i) The LCM of 3297 and 3290 is associative
LCM of 3290 and 3297 = LCM of 3297 and 3290
Related Least Common Multiples of 3290
Related Least Common Multiples of 3297
Frequently Asked Questions on LCM of 3290 and 3297
1. What is the LCM of 3290 and 3297?
Answer: LCM of 3290 and 3297 is 1549590.
2. What are the Factors of 3290?
Answer: Factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. There are 16 integers that are factors of 3290. The greatest factor of 3290 is 3290.
3. What are the Factors of 3297?
Answer: Factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297. There are 8 integers that are factors of 3297. The greatest factor of 3297 is 3297.
4. How to Find the LCM of 3290 and 3297?
Answer:
Least Common Multiple of 3290 and 3297 = 1549590
Step 1: Find the prime factorization of 3290
3290 = 2 x 5 x 7 x 47
Step 2: Find the prime factorization of 3297
3297 = 3 x 7 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1549590 = 2 x 3 x 5 x 7 x 47 x 157
Step 4: Therefore, the least common multiple of 3290 and 3297 is 1549590.