Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3326 and 3331 the smallest integer that is 11078906 that is divisible by both numbers.
Least Common Multiple (LCM) of 3326 and 3331 is 11078906.
LCM(3326,3331) = 11078906
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 3326 and 3331. First we will calculate the prime factors of 3326 and 3331.
Prime Factorization of 3326
2 | 3326 |
1663 | 1663 |
1 |
Prime factors of 3326 are 2,1663. Prime factorization of 3326 in exponential form is:
3326 = 21×16631
Prime Factorization of 3331
3331 | 3331 |
1 |
Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:
3331 = 33311
Now multiplying the highest exponent prime factors to calculate the LCM of 3326 and 3331.
LCM(3326,3331) = 21×16631×33311
LCM(3326,3331) = 11078906
Factors of 3326
List of positive integer factors of 3326 that divides 3326 without a remainder.
1, 2, 1663, 3326
Factors of 3331
List of positive integer factors of 3331 that divides 3331 without a remainder.
1, 3331
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3326 and 3331, than apply into the LCM equation.
GCF(3326,3331) = 1
LCM(3326,3331) = ( 3326 × 3331) / 1
LCM(3326,3331) = 11078906 / 1
LCM(3326,3331) = 11078906
(i) The LCM of 3331 and 3326 is associative
LCM of 3326 and 3331 = LCM of 3331 and 3326
1. What is the LCM of 3326 and 3331?
Answer: LCM of 3326 and 3331 is 11078906.
2. What are the Factors of 3326?
Answer: Factors of 3326 are 1, 2, 1663, 3326. There are 4 integers that are factors of 3326. The greatest factor of 3326 is 3326.
3. What are the Factors of 3331?
Answer: Factors of 3331 are 1, 3331. There are 2 integers that are factors of 3331. The greatest factor of 3331 is 3331.
4. How to Find the LCM of 3326 and 3331?
Answer:
Least Common Multiple of 3326 and 3331 = 11078906
Step 1: Find the prime factorization of 3326
3326 = 2 x 1663
Step 2: Find the prime factorization of 3331
3331 = 3331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11078906 = 2 x 1663 x 3331
Step 4: Therefore, the least common multiple of 3326 and 3331 is 11078906.