Least Common Multiple of 3234 and 3241
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3234 and 3241 the smallest integer that is 1497342 that is divisible by both numbers.
Least Common Multiple (LCM) of 3234 and 3241 is 1497342.
LCM(3234,3241) = 1497342
LCM of 3234 and 3241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3234 and 3241 by Prime method
- Least Common Multiple of 3234 and 3241 with GCF Formula
LCM of 3234 and 3241 is 1497342
Least common multiple can be found by multiplying the highest exponent prime factors of 3234 and 3241. First we will calculate the prime factors of 3234 and 3241.
Prime Factorization of 3234
| 2 | 3234 |
| 3 | 1617 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:
3234 = 21×31×72×111
Prime Factorization of 3241
| 7 | 3241 |
| 463 | 463 |
| 1 |
Prime factors of 3241 are 7,463. Prime factorization of 3241 in exponential form is:
3241 = 71×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 3234 and 3241.
LCM(3234,3241) = 21×31×72×111×4631
LCM(3234,3241) = 1497342
Factors of 3234
List of positive integer factors of 3234 that divides 3234 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
Factors of 3241
List of positive integer factors of 3241 that divides 3241 without a remainder.
1, 7, 463, 3241
Least Common Multiple of 3234 and 3241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3234 and 3241, than apply into the LCM equation.
GCF(3234,3241) = 7
LCM(3234,3241) = ( 3234 × 3241) / 7
LCM(3234,3241) = 10481394 / 7
LCM(3234,3241) = 1497342
Properties of LCM 3234 and 3241
(i) The LCM of 3241 and 3234 is associative
LCM of 3234 and 3241 = LCM of 3241 and 3234
Related Least Common Multiples of 3234
Related Least Common Multiples of 3241
Frequently Asked Questions on LCM of 3234 and 3241
1. What is the LCM of 3234 and 3241?
Answer: LCM of 3234 and 3241 is 1497342.
2. What are the Factors of 3234?
Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.
3. What are the Factors of 3241?
Answer: Factors of 3241 are 1, 7, 463, 3241. There are 4 integers that are factors of 3241. The greatest factor of 3241 is 3241.
4. How to Find the LCM of 3234 and 3241?
Answer:
Least Common Multiple of 3234 and 3241 = 1497342
Step 1: Find the prime factorization of 3234
3234 = 2 x 3 x 7 x 7 x 11
Step 2: Find the prime factorization of 3241
3241 = 7 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1497342 = 2 x 3 x 7 x 7 x 11 x 463
Step 4: Therefore, the least common multiple of 3234 and 3241 is 1497342.