Least Common Multiple of 3383 and 3390
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3383 and 3390 the smallest integer that is 11468370 that is divisible by both numbers.
Least Common Multiple (LCM) of 3383 and 3390 is 11468370.
LCM(3383,3390) = 11468370
LCM of 3383 and 3390
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3383 and 3390 by Prime method
- Least Common Multiple of 3383 and 3390 with GCF Formula
LCM of 3383 and 3390 is 11468370
Least common multiple can be found by multiplying the highest exponent prime factors of 3383 and 3390. First we will calculate the prime factors of 3383 and 3390.
Prime Factorization of 3383
| 17 | 3383 |
| 199 | 199 |
| 1 |
Prime factors of 3383 are 17,199. Prime factorization of 3383 in exponential form is:
3383 = 171×1991
Prime Factorization of 3390
| 2 | 3390 |
| 3 | 1695 |
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 3390 are 2, 3, 5,113. Prime factorization of 3390 in exponential form is:
3390 = 21×31×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 3383 and 3390.
LCM(3383,3390) = 21×31×51×171×1131×1991
LCM(3383,3390) = 11468370
Factors of 3383
List of positive integer factors of 3383 that divides 3383 without a remainder.
1, 17, 199, 3383
Factors of 3390
List of positive integer factors of 3390 that divides 3390 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
Least Common Multiple of 3383 and 3390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3383 and 3390, than apply into the LCM equation.
GCF(3383,3390) = 1
LCM(3383,3390) = ( 3383 × 3390) / 1
LCM(3383,3390) = 11468370 / 1
LCM(3383,3390) = 11468370
Properties of LCM 3383 and 3390
(i) The LCM of 3390 and 3383 is associative
LCM of 3383 and 3390 = LCM of 3390 and 3383
Related Least Common Multiples of 3383
Related Least Common Multiples of 3390
Frequently Asked Questions on LCM of 3383 and 3390
1. What is the LCM of 3383 and 3390?
Answer: LCM of 3383 and 3390 is 11468370.
2. What are the Factors of 3383?
Answer: Factors of 3383 are 1, 17, 199, 3383. There are 4 integers that are factors of 3383. The greatest factor of 3383 is 3383.
3. What are the Factors of 3390?
Answer: Factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390. There are 16 integers that are factors of 3390. The greatest factor of 3390 is 3390.
4. How to Find the LCM of 3383 and 3390?
Answer:
Least Common Multiple of 3383 and 3390 = 11468370
Step 1: Find the prime factorization of 3383
3383 = 17 x 199
Step 2: Find the prime factorization of 3390
3390 = 2 x 3 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11468370 = 2 x 3 x 5 x 17 x 113 x 199
Step 4: Therefore, the least common multiple of 3383 and 3390 is 11468370.