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 3283 the smallest integer that is 10751825 that is divisible by both numbers.
Least Common Multiple (LCM) of 3275 and 3283 is 10751825.
LCM(3275,3283) = 10751825
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 3283. First we will calculate the prime factors of 3275 and 3283.
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 3283
7 | 3283 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 3283 are 7,67. Prime factorization of 3283 in exponential form is:
3283 = 72×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3283.
LCM(3275,3283) = 52×72×671×1311
LCM(3275,3283) = 10751825
Factors of 3275
List of positive integer factors of 3275 that divides 3275 without a remainder.
1, 5, 25, 131, 655, 3275
Factors of 3283
List of positive integer factors of 3283 that divides 3283 without a remainder.
1, 7, 49, 67, 469, 3283
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3283, than apply into the LCM equation.
GCF(3275,3283) = 1
LCM(3275,3283) = ( 3275 × 3283) / 1
LCM(3275,3283) = 10751825 / 1
LCM(3275,3283) = 10751825
(i) The LCM of 3283 and 3275 is associative
LCM of 3275 and 3283 = LCM of 3283 and 3275
1. What is the LCM of 3275 and 3283?
Answer: LCM of 3275 and 3283 is 10751825.
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 3283?
Answer: Factors of 3283 are 1, 7, 49, 67, 469, 3283. There are 6 integers that are factors of 3283. The greatest factor of 3283 is 3283.
4. How to Find the LCM of 3275 and 3283?
Answer:
Least Common Multiple of 3275 and 3283 = 10751825
Step 1: Find the prime factorization of 3275
3275 = 5 x 5 x 131
Step 2: Find the prime factorization of 3283
3283 = 7 x 7 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 = 10751825 = 5 x 5 x 7 x 7 x 67 x 131
Step 4: Therefore, the least common multiple of 3275 and 3283 is 10751825.