Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3322 and 3326 the smallest integer that is 5524486 that is divisible by both numbers.
Least Common Multiple (LCM) of 3322 and 3326 is 5524486.
LCM(3322,3326) = 5524486
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 3322 and 3326. First we will calculate the prime factors of 3322 and 3326.
Prime Factorization of 3322
2 | 3322 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 3322 are 2, 11,151. Prime factorization of 3322 in exponential form is:
3322 = 21×111×1511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3322 and 3326.
LCM(3322,3326) = 21×111×1511×16631
LCM(3322,3326) = 5524486
Factors of 3322
List of positive integer factors of 3322 that divides 3322 without a remainder.
1, 2, 11, 22, 151, 302, 1661, 3322
Factors of 3326
List of positive integer factors of 3326 that divides 3326 without a remainder.
1, 2, 1663, 3326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3322 and 3326, than apply into the LCM equation.
GCF(3322,3326) = 2
LCM(3322,3326) = ( 3322 × 3326) / 2
LCM(3322,3326) = 11048972 / 2
LCM(3322,3326) = 5524486
(i) The LCM of 3326 and 3322 is associative
LCM of 3322 and 3326 = LCM of 3326 and 3322
1. What is the LCM of 3322 and 3326?
Answer: LCM of 3322 and 3326 is 5524486.
2. What are the Factors of 3322?
Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.
3. 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.
4. How to Find the LCM of 3322 and 3326?
Answer:
Least Common Multiple of 3322 and 3326 = 5524486
Step 1: Find the prime factorization of 3322
3322 = 2 x 11 x 151
Step 2: Find the prime factorization of 3326
3326 = 2 x 1663
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5524486 = 2 x 11 x 151 x 1663
Step 4: Therefore, the least common multiple of 3322 and 3326 is 5524486.