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 3280 the smallest integer that is 2148400 that is divisible by both numbers.
Least Common Multiple (LCM) of 3275 and 3280 is 2148400.
LCM(3275,3280) = 2148400
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 3280. First we will calculate the prime factors of 3275 and 3280.
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 3280
2 | 3280 |
2 | 1640 |
2 | 820 |
2 | 410 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 3280 are 2, 5,41. Prime factorization of 3280 in exponential form is:
3280 = 24×51×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3280.
LCM(3275,3280) = 24×52×411×1311
LCM(3275,3280) = 2148400
Factors of 3275
List of positive integer factors of 3275 that divides 3275 without a remainder.
1, 5, 25, 131, 655, 3275
Factors of 3280
List of positive integer factors of 3280 that divides 3280 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3280, than apply into the LCM equation.
GCF(3275,3280) = 5
LCM(3275,3280) = ( 3275 × 3280) / 5
LCM(3275,3280) = 10742000 / 5
LCM(3275,3280) = 2148400
(i) The LCM of 3280 and 3275 is associative
LCM of 3275 and 3280 = LCM of 3280 and 3275
1. What is the LCM of 3275 and 3280?
Answer: LCM of 3275 and 3280 is 2148400.
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 3280?
Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.
4. How to Find the LCM of 3275 and 3280?
Answer:
Least Common Multiple of 3275 and 3280 = 2148400
Step 1: Find the prime factorization of 3275
3275 = 5 x 5 x 131
Step 2: Find the prime factorization of 3280
3280 = 2 x 2 x 2 x 2 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2148400 = 2 x 2 x 2 x 2 x 5 x 5 x 41 x 131
Step 4: Therefore, the least common multiple of 3275 and 3280 is 2148400.