Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3253 and 3261 the smallest integer that is 10608033 that is divisible by both numbers.
Least Common Multiple (LCM) of 3253 and 3261 is 10608033.
LCM(3253,3261) = 10608033
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 3253 and 3261. First we will calculate the prime factors of 3253 and 3261.
Prime Factorization of 3253
3253 | 3253 |
1 |
Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:
3253 = 32531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3253 and 3261.
LCM(3253,3261) = 31×10871×32531
LCM(3253,3261) = 10608033
Factors of 3253
List of positive integer factors of 3253 that divides 3253 without a remainder.
1, 3253
Factors of 3261
List of positive integer factors of 3261 that divides 3261 without a remainder.
1, 3, 1087, 3261
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3253 and 3261, than apply into the LCM equation.
GCF(3253,3261) = 1
LCM(3253,3261) = ( 3253 × 3261) / 1
LCM(3253,3261) = 10608033 / 1
LCM(3253,3261) = 10608033
(i) The LCM of 3261 and 3253 is associative
LCM of 3253 and 3261 = LCM of 3261 and 3253
1. What is the LCM of 3253 and 3261?
Answer: LCM of 3253 and 3261 is 10608033.
2. What are the Factors of 3253?
Answer: Factors of 3253 are 1, 3253. There are 2 integers that are factors of 3253. The greatest factor of 3253 is 3253.
3. 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.
4. How to Find the LCM of 3253 and 3261?
Answer:
Least Common Multiple of 3253 and 3261 = 10608033
Step 1: Find the prime factorization of 3253
3253 = 3253
Step 2: Find the prime factorization of 3261
3261 = 3 x 1087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10608033 = 3 x 1087 x 3253
Step 4: Therefore, the least common multiple of 3253 and 3261 is 10608033.