Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3259 and 3267 the smallest integer that is 10647153 that is divisible by both numbers.
Least Common Multiple (LCM) of 3259 and 3267 is 10647153.
LCM(3259,3267) = 10647153
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 3259 and 3267. First we will calculate the prime factors of 3259 and 3267.
Prime Factorization of 3259
3259 | 3259 |
1 |
Prime factors of 3259 are 3259. Prime factorization of 3259 in exponential form is:
3259 = 32591
Prime Factorization of 3267
3 | 3267 |
3 | 1089 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 3267 are 3,11. Prime factorization of 3267 in exponential form is:
3267 = 33×112
Now multiplying the highest exponent prime factors to calculate the LCM of 3259 and 3267.
LCM(3259,3267) = 33×112×32591
LCM(3259,3267) = 10647153
Factors of 3259
List of positive integer factors of 3259 that divides 3259 without a remainder.
1, 3259
Factors of 3267
List of positive integer factors of 3267 that divides 3267 without a remainder.
1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3259 and 3267, than apply into the LCM equation.
GCF(3259,3267) = 1
LCM(3259,3267) = ( 3259 × 3267) / 1
LCM(3259,3267) = 10647153 / 1
LCM(3259,3267) = 10647153
(i) The LCM of 3267 and 3259 is associative
LCM of 3259 and 3267 = LCM of 3267 and 3259
1. What is the LCM of 3259 and 3267?
Answer: LCM of 3259 and 3267 is 10647153.
2. What are the Factors of 3259?
Answer: Factors of 3259 are 1, 3259. There are 2 integers that are factors of 3259. The greatest factor of 3259 is 3259.
3. What are the Factors of 3267?
Answer: Factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267. There are 12 integers that are factors of 3267. The greatest factor of 3267 is 3267.
4. How to Find the LCM of 3259 and 3267?
Answer:
Least Common Multiple of 3259 and 3267 = 10647153
Step 1: Find the prime factorization of 3259
3259 = 3259
Step 2: Find the prime factorization of 3267
3267 = 3 x 3 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10647153 = 3 x 3 x 3 x 11 x 11 x 3259
Step 4: Therefore, the least common multiple of 3259 and 3267 is 10647153.