Least Common Multiple of 6615 and 6623
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6615 and 6623 the smallest integer that is 43811145 that is divisible by both numbers.
Least Common Multiple (LCM) of 6615 and 6623 is 43811145.
LCM(6615,6623) = 43811145
LCM of 6615 and 6623
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6615 and 6623 by Prime method
- Least Common Multiple of 6615 and 6623 with GCF Formula
LCM of 6615 and 6623 is 43811145
Least common multiple can be found by multiplying the highest exponent prime factors of 6615 and 6623. First we will calculate the prime factors of 6615 and 6623.
Prime Factorization of 6615
| 3 | 6615 |
| 3 | 2205 |
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 6615 are 3, 5,7. Prime factorization of 6615 in exponential form is:
6615 = 33×51×72
Prime Factorization of 6623
| 37 | 6623 |
| 179 | 179 |
| 1 |
Prime factors of 6623 are 37,179. Prime factorization of 6623 in exponential form is:
6623 = 371×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 6615 and 6623.
LCM(6615,6623) = 33×51×72×371×1791
LCM(6615,6623) = 43811145
Factors of 6615
List of positive integer factors of 6615 that divides 6615 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
Factors of 6623
List of positive integer factors of 6623 that divides 6623 without a remainder.
1, 37, 179, 6623
Least Common Multiple of 6615 and 6623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6615 and 6623, than apply into the LCM equation.
GCF(6615,6623) = 1
LCM(6615,6623) = ( 6615 × 6623) / 1
LCM(6615,6623) = 43811145 / 1
LCM(6615,6623) = 43811145
Properties of LCM 6615 and 6623
(i) The LCM of 6623 and 6615 is associative
LCM of 6615 and 6623 = LCM of 6623 and 6615
Related Least Common Multiples of 6615
Related Least Common Multiples of 6623
Frequently Asked Questions on LCM of 6615 and 6623
1. What is the LCM of 6615 and 6623?
Answer: LCM of 6615 and 6623 is 43811145.
2. What are the Factors of 6615?
Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.
3. What are the Factors of 6623?
Answer: Factors of 6623 are 1, 37, 179, 6623. There are 4 integers that are factors of 6623. The greatest factor of 6623 is 6623.
4. How to Find the LCM of 6615 and 6623?
Answer:
Least Common Multiple of 6615 and 6623 = 43811145
Step 1: Find the prime factorization of 6615
6615 = 3 x 3 x 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 6623
6623 = 37 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43811145 = 3 x 3 x 3 x 5 x 7 x 7 x 37 x 179
Step 4: Therefore, the least common multiple of 6615 and 6623 is 43811145.