Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3329 and 3330 the smallest integer that is 11085570 that is divisible by both numbers.
Least Common Multiple (LCM) of 3329 and 3330 is 11085570.
LCM(3329,3330) = 11085570
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 3329 and 3330. First we will calculate the prime factors of 3329 and 3330.
Prime Factorization of 3329
3329 | 3329 |
1 |
Prime factors of 3329 are 3329. Prime factorization of 3329 in exponential form is:
3329 = 33291
Prime Factorization of 3330
2 | 3330 |
3 | 1665 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 3330 are 2, 3, 5,37. Prime factorization of 3330 in exponential form is:
3330 = 21×32×51×371
Now multiplying the highest exponent prime factors to calculate the LCM of 3329 and 3330.
LCM(3329,3330) = 21×32×51×371×33291
LCM(3329,3330) = 11085570
Factors of 3329
List of positive integer factors of 3329 that divides 3329 without a remainder.
1, 3329
Factors of 3330
List of positive integer factors of 3330 that divides 3330 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3329 and 3330, than apply into the LCM equation.
GCF(3329,3330) = 1
LCM(3329,3330) = ( 3329 × 3330) / 1
LCM(3329,3330) = 11085570 / 1
LCM(3329,3330) = 11085570
(i) The LCM of 3330 and 3329 is associative
LCM of 3329 and 3330 = LCM of 3330 and 3329
1. What is the LCM of 3329 and 3330?
Answer: LCM of 3329 and 3330 is 11085570.
2. What are the Factors of 3329?
Answer: Factors of 3329 are 1, 3329. There are 2 integers that are factors of 3329. The greatest factor of 3329 is 3329.
3. What are the Factors of 3330?
Answer: Factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. There are 24 integers that are factors of 3330. The greatest factor of 3330 is 3330.
4. How to Find the LCM of 3329 and 3330?
Answer:
Least Common Multiple of 3329 and 3330 = 11085570
Step 1: Find the prime factorization of 3329
3329 = 3329
Step 2: Find the prime factorization of 3330
3330 = 2 x 3 x 3 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11085570 = 2 x 3 x 3 x 5 x 37 x 3329
Step 4: Therefore, the least common multiple of 3329 and 3330 is 11085570.