Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3255 and 3260 the smallest integer that is 2122260 that is divisible by both numbers.
Least Common Multiple (LCM) of 3255 and 3260 is 2122260.
LCM(3255,3260) = 2122260
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 3255 and 3260. First we will calculate the prime factors of 3255 and 3260.
Prime Factorization of 3255
3 | 3255 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 3255 are 3, 5, 7,31. Prime factorization of 3255 in exponential form is:
3255 = 31×51×71×311
Prime Factorization of 3260
2 | 3260 |
2 | 1630 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:
3260 = 22×51×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 3255 and 3260.
LCM(3255,3260) = 22×31×51×71×311×1631
LCM(3255,3260) = 2122260
Factors of 3255
List of positive integer factors of 3255 that divides 3255 without a remainder.
1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255
Factors of 3260
List of positive integer factors of 3260 that divides 3260 without a remainder.
1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3255 and 3260, than apply into the LCM equation.
GCF(3255,3260) = 5
LCM(3255,3260) = ( 3255 × 3260) / 5
LCM(3255,3260) = 10611300 / 5
LCM(3255,3260) = 2122260
(i) The LCM of 3260 and 3255 is associative
LCM of 3255 and 3260 = LCM of 3260 and 3255
1. What is the LCM of 3255 and 3260?
Answer: LCM of 3255 and 3260 is 2122260.
2. What are the Factors of 3255?
Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.
3. What are the Factors of 3260?
Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.
4. How to Find the LCM of 3255 and 3260?
Answer:
Least Common Multiple of 3255 and 3260 = 2122260
Step 1: Find the prime factorization of 3255
3255 = 3 x 5 x 7 x 31
Step 2: Find the prime factorization of 3260
3260 = 2 x 2 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2122260 = 2 x 2 x 3 x 5 x 7 x 31 x 163
Step 4: Therefore, the least common multiple of 3255 and 3260 is 2122260.