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 3327 the smallest integer that is 11052294 that is divisible by both numbers.
Least Common Multiple (LCM) of 3322 and 3327 is 11052294.
LCM(3322,3327) = 11052294
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 3327. First we will calculate the prime factors of 3322 and 3327.
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 3327
3 | 3327 |
1109 | 1109 |
1 |
Prime factors of 3327 are 3,1109. Prime factorization of 3327 in exponential form is:
3327 = 31×11091
Now multiplying the highest exponent prime factors to calculate the LCM of 3322 and 3327.
LCM(3322,3327) = 21×31×111×1511×11091
LCM(3322,3327) = 11052294
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 3327
List of positive integer factors of 3327 that divides 3327 without a remainder.
1, 3, 1109, 3327
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3322 and 3327, than apply into the LCM equation.
GCF(3322,3327) = 1
LCM(3322,3327) = ( 3322 × 3327) / 1
LCM(3322,3327) = 11052294 / 1
LCM(3322,3327) = 11052294
(i) The LCM of 3327 and 3322 is associative
LCM of 3322 and 3327 = LCM of 3327 and 3322
1. What is the LCM of 3322 and 3327?
Answer: LCM of 3322 and 3327 is 11052294.
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 3327?
Answer: Factors of 3327 are 1, 3, 1109, 3327. There are 4 integers that are factors of 3327. The greatest factor of 3327 is 3327.
4. How to Find the LCM of 3322 and 3327?
Answer:
Least Common Multiple of 3322 and 3327 = 11052294
Step 1: Find the prime factorization of 3322
3322 = 2 x 11 x 151
Step 2: Find the prime factorization of 3327
3327 = 3 x 1109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11052294 = 2 x 3 x 11 x 151 x 1109
Step 4: Therefore, the least common multiple of 3322 and 3327 is 11052294.