Least Common Multiple of 3366 and 3373
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3366 and 3373 the smallest integer that is 11353518 that is divisible by both numbers.
Least Common Multiple (LCM) of 3366 and 3373 is 11353518.
LCM(3366,3373) = 11353518
LCM of 3366 and 3373
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3366 and 3373 by Prime method
- Least Common Multiple of 3366 and 3373 with GCF Formula
LCM of 3366 and 3373 is 11353518
Least common multiple can be found by multiplying the highest exponent prime factors of 3366 and 3373. First we will calculate the prime factors of 3366 and 3373.
Prime Factorization of 3366
| 2 | 3366 |
| 3 | 1683 |
| 3 | 561 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 3366 are 2, 3, 11,17. Prime factorization of 3366 in exponential form is:
3366 = 21×32×111×171
Prime Factorization of 3373
| 3373 | 3373 |
| 1 |
Prime factors of 3373 are 3373. Prime factorization of 3373 in exponential form is:
3373 = 33731
Now multiplying the highest exponent prime factors to calculate the LCM of 3366 and 3373.
LCM(3366,3373) = 21×32×111×171×33731
LCM(3366,3373) = 11353518
Factors of 3366
List of positive integer factors of 3366 that divides 3366 without a remainder.
1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
Factors of 3373
List of positive integer factors of 3373 that divides 3373 without a remainder.
1, 3373
Least Common Multiple of 3366 and 3373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3366 and 3373, than apply into the LCM equation.
GCF(3366,3373) = 1
LCM(3366,3373) = ( 3366 × 3373) / 1
LCM(3366,3373) = 11353518 / 1
LCM(3366,3373) = 11353518
Properties of LCM 3366 and 3373
(i) The LCM of 3373 and 3366 is associative
LCM of 3366 and 3373 = LCM of 3373 and 3366
Related Least Common Multiples of 3366
Related Least Common Multiples of 3373
Frequently Asked Questions on LCM of 3366 and 3373
1. What is the LCM of 3366 and 3373?
Answer: LCM of 3366 and 3373 is 11353518.
2. What are the Factors of 3366?
Answer: Factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. There are 24 integers that are factors of 3366. The greatest factor of 3366 is 3366.
3. What are the Factors of 3373?
Answer: Factors of 3373 are 1, 3373. There are 2 integers that are factors of 3373. The greatest factor of 3373 is 3373.
4. How to Find the LCM of 3366 and 3373?
Answer:
Least Common Multiple of 3366 and 3373 = 11353518
Step 1: Find the prime factorization of 3366
3366 = 2 x 3 x 3 x 11 x 17
Step 2: Find the prime factorization of 3373
3373 = 3373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11353518 = 2 x 3 x 3 x 11 x 17 x 3373
Step 4: Therefore, the least common multiple of 3366 and 3373 is 11353518.