Least Common Multiple of 3465 and 3473
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3465 and 3473 the smallest integer that is 12033945 that is divisible by both numbers.
Least Common Multiple (LCM) of 3465 and 3473 is 12033945.
LCM(3465,3473) = 12033945
LCM of 3465 and 3473
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3465 and 3473 by Prime method
- Least Common Multiple of 3465 and 3473 with GCF Formula
LCM of 3465 and 3473 is 12033945
Least common multiple can be found by multiplying the highest exponent prime factors of 3465 and 3473. First we will calculate the prime factors of 3465 and 3473.
Prime Factorization of 3465
| 3 | 3465 |
| 3 | 1155 |
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 3465 are 3, 5, 7,11. Prime factorization of 3465 in exponential form is:
3465 = 32×51×71×111
Prime Factorization of 3473
| 23 | 3473 |
| 151 | 151 |
| 1 |
Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:
3473 = 231×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 3465 and 3473.
LCM(3465,3473) = 32×51×71×111×231×1511
LCM(3465,3473) = 12033945
Factors of 3465
List of positive integer factors of 3465 that divides 3465 without a remainder.
1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465
Factors of 3473
List of positive integer factors of 3473 that divides 3473 without a remainder.
1, 23, 151, 3473
Least Common Multiple of 3465 and 3473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3465 and 3473, than apply into the LCM equation.
GCF(3465,3473) = 1
LCM(3465,3473) = ( 3465 × 3473) / 1
LCM(3465,3473) = 12033945 / 1
LCM(3465,3473) = 12033945
Properties of LCM 3465 and 3473
(i) The LCM of 3473 and 3465 is associative
LCM of 3465 and 3473 = LCM of 3473 and 3465
Related Least Common Multiples of 3465
Related Least Common Multiples of 3473
Frequently Asked Questions on LCM of 3465 and 3473
1. What is the LCM of 3465 and 3473?
Answer: LCM of 3465 and 3473 is 12033945.
2. What are the Factors of 3465?
Answer: Factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465. There are 24 integers that are factors of 3465. The greatest factor of 3465 is 3465.
3. What are the Factors of 3473?
Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.
4. How to Find the LCM of 3465 and 3473?
Answer:
Least Common Multiple of 3465 and 3473 = 12033945
Step 1: Find the prime factorization of 3465
3465 = 3 x 3 x 5 x 7 x 11
Step 2: Find the prime factorization of 3473
3473 = 23 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12033945 = 3 x 3 x 5 x 7 x 11 x 23 x 151
Step 4: Therefore, the least common multiple of 3465 and 3473 is 12033945.