Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3307 and 3313 the smallest integer that is 10956091 that is divisible by both numbers.
Least Common Multiple (LCM) of 3307 and 3313 is 10956091.
LCM(3307,3313) = 10956091
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 3307 and 3313. First we will calculate the prime factors of 3307 and 3313.
Prime Factorization of 3307
3307 | 3307 |
1 |
Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:
3307 = 33071
Prime Factorization of 3313
3313 | 3313 |
1 |
Prime factors of 3313 are 3313. Prime factorization of 3313 in exponential form is:
3313 = 33131
Now multiplying the highest exponent prime factors to calculate the LCM of 3307 and 3313.
LCM(3307,3313) = 33071×33131
LCM(3307,3313) = 10956091
Factors of 3307
List of positive integer factors of 3307 that divides 3307 without a remainder.
1, 3307
Factors of 3313
List of positive integer factors of 3313 that divides 3313 without a remainder.
1, 3313
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3307 and 3313, than apply into the LCM equation.
GCF(3307,3313) = 1
LCM(3307,3313) = ( 3307 × 3313) / 1
LCM(3307,3313) = 10956091 / 1
LCM(3307,3313) = 10956091
(i) The LCM of 3313 and 3307 is associative
LCM of 3307 and 3313 = LCM of 3313 and 3307
1. What is the LCM of 3307 and 3313?
Answer: LCM of 3307 and 3313 is 10956091.
2. What are the Factors of 3307?
Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.
3. What are the Factors of 3313?
Answer: Factors of 3313 are 1, 3313. There are 2 integers that are factors of 3313. The greatest factor of 3313 is 3313.
4. How to Find the LCM of 3307 and 3313?
Answer:
Least Common Multiple of 3307 and 3313 = 10956091
Step 1: Find the prime factorization of 3307
3307 = 3307
Step 2: Find the prime factorization of 3313
3313 = 3313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10956091 = 3307 x 3313
Step 4: Therefore, the least common multiple of 3307 and 3313 is 10956091.