Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3275 and 3281 the smallest integer that is 10745275 that is divisible by both numbers.
Least Common Multiple (LCM) of 3275 and 3281 is 10745275.
LCM(3275,3281) = 10745275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3275 and 3281. First we will calculate the prime factors of 3275 and 3281.
Prime Factorization of 3275
5 | 3275 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:
3275 = 52×1311
Prime Factorization of 3281
17 | 3281 |
193 | 193 |
1 |
Prime factors of 3281 are 17,193. Prime factorization of 3281 in exponential form is:
3281 = 171×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3281.
LCM(3275,3281) = 52×171×1311×1931
LCM(3275,3281) = 10745275
Factors of 3275
List of positive integer factors of 3275 that divides 3275 without a remainder.
1, 5, 25, 131, 655, 3275
Factors of 3281
List of positive integer factors of 3281 that divides 3281 without a remainder.
1, 17, 193, 3281
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3281, than apply into the LCM equation.
GCF(3275,3281) = 1
LCM(3275,3281) = ( 3275 × 3281) / 1
LCM(3275,3281) = 10745275 / 1
LCM(3275,3281) = 10745275
(i) The LCM of 3281 and 3275 is associative
LCM of 3275 and 3281 = LCM of 3281 and 3275
1. What is the LCM of 3275 and 3281?
Answer: LCM of 3275 and 3281 is 10745275.
2. What are the Factors of 3275?
Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.
3. What are the Factors of 3281?
Answer: Factors of 3281 are 1, 17, 193, 3281. There are 4 integers that are factors of 3281. The greatest factor of 3281 is 3281.
4. How to Find the LCM of 3275 and 3281?
Answer:
Least Common Multiple of 3275 and 3281 = 10745275
Step 1: Find the prime factorization of 3275
3275 = 5 x 5 x 131
Step 2: Find the prime factorization of 3281
3281 = 17 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10745275 = 5 x 5 x 17 x 131 x 193
Step 4: Therefore, the least common multiple of 3275 and 3281 is 10745275.