Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3261 and 3269 the smallest integer that is 10660209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3261 and 3269 is 10660209.
LCM(3261,3269) = 10660209
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 3261 and 3269. First we will calculate the prime factors of 3261 and 3269.
Prime Factorization of 3261
3 | 3261 |
1087 | 1087 |
1 |
Prime factors of 3261 are 3,1087. Prime factorization of 3261 in exponential form is:
3261 = 31×10871
Prime Factorization of 3269
7 | 3269 |
467 | 467 |
1 |
Prime factors of 3269 are 7,467. Prime factorization of 3269 in exponential form is:
3269 = 71×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 3261 and 3269.
LCM(3261,3269) = 31×71×4671×10871
LCM(3261,3269) = 10660209
Factors of 3261
List of positive integer factors of 3261 that divides 3261 without a remainder.
1, 3, 1087, 3261
Factors of 3269
List of positive integer factors of 3269 that divides 3269 without a remainder.
1, 7, 467, 3269
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3261 and 3269, than apply into the LCM equation.
GCF(3261,3269) = 1
LCM(3261,3269) = ( 3261 × 3269) / 1
LCM(3261,3269) = 10660209 / 1
LCM(3261,3269) = 10660209
(i) The LCM of 3269 and 3261 is associative
LCM of 3261 and 3269 = LCM of 3269 and 3261
1. What is the LCM of 3261 and 3269?
Answer: LCM of 3261 and 3269 is 10660209.
2. What are the Factors of 3261?
Answer: Factors of 3261 are 1, 3, 1087, 3261. There are 4 integers that are factors of 3261. The greatest factor of 3261 is 3261.
3. What are the Factors of 3269?
Answer: Factors of 3269 are 1, 7, 467, 3269. There are 4 integers that are factors of 3269. The greatest factor of 3269 is 3269.
4. How to Find the LCM of 3261 and 3269?
Answer:
Least Common Multiple of 3261 and 3269 = 10660209
Step 1: Find the prime factorization of 3261
3261 = 3 x 1087
Step 2: Find the prime factorization of 3269
3269 = 7 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10660209 = 3 x 7 x 467 x 1087
Step 4: Therefore, the least common multiple of 3261 and 3269 is 10660209.