Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3316 and 3320 the smallest integer that is 2752280 that is divisible by both numbers.
Least Common Multiple (LCM) of 3316 and 3320 is 2752280.
LCM(3316,3320) = 2752280
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 3316 and 3320. First we will calculate the prime factors of 3316 and 3320.
Prime Factorization of 3316
2 | 3316 |
2 | 1658 |
829 | 829 |
1 |
Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:
3316 = 22×8291
Prime Factorization of 3320
2 | 3320 |
2 | 1660 |
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 3320 are 2, 5,83. Prime factorization of 3320 in exponential form is:
3320 = 23×51×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3316 and 3320.
LCM(3316,3320) = 23×51×831×8291
LCM(3316,3320) = 2752280
Factors of 3316
List of positive integer factors of 3316 that divides 3316 without a remainder.
1, 2, 4, 829, 1658, 3316
Factors of 3320
List of positive integer factors of 3320 that divides 3320 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3316 and 3320, than apply into the LCM equation.
GCF(3316,3320) = 4
LCM(3316,3320) = ( 3316 × 3320) / 4
LCM(3316,3320) = 11009120 / 4
LCM(3316,3320) = 2752280
(i) The LCM of 3320 and 3316 is associative
LCM of 3316 and 3320 = LCM of 3320 and 3316
1. What is the LCM of 3316 and 3320?
Answer: LCM of 3316 and 3320 is 2752280.
2. What are the Factors of 3316?
Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.
3. What are the Factors of 3320?
Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.
4. How to Find the LCM of 3316 and 3320?
Answer:
Least Common Multiple of 3316 and 3320 = 2752280
Step 1: Find the prime factorization of 3316
3316 = 2 x 2 x 829
Step 2: Find the prime factorization of 3320
3320 = 2 x 2 x 2 x 5 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2752280 = 2 x 2 x 2 x 5 x 83 x 829
Step 4: Therefore, the least common multiple of 3316 and 3320 is 2752280.