Least Common Multiple of 4465 and 4469
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4465 and 4469 the smallest integer that is 19954085 that is divisible by both numbers.
Least Common Multiple (LCM) of 4465 and 4469 is 19954085.
LCM(4465,4469) = 19954085
LCM of 4465 and 4469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4465 and 4469 by Prime method
- Least Common Multiple of 4465 and 4469 with GCF Formula
LCM of 4465 and 4469 is 19954085
Least common multiple can be found by multiplying the highest exponent prime factors of 4465 and 4469. First we will calculate the prime factors of 4465 and 4469.
Prime Factorization of 4465
| 5 | 4465 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 4465 are 5, 19,47. Prime factorization of 4465 in exponential form is:
4465 = 51×191×471
Prime Factorization of 4469
| 41 | 4469 |
| 109 | 109 |
| 1 |
Prime factors of 4469 are 41,109. Prime factorization of 4469 in exponential form is:
4469 = 411×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 4465 and 4469.
LCM(4465,4469) = 51×191×411×471×1091
LCM(4465,4469) = 19954085
Factors of 4465
List of positive integer factors of 4465 that divides 4465 without a remainder.
1, 5, 19, 47, 95, 235, 893, 4465
Factors of 4469
List of positive integer factors of 4469 that divides 4469 without a remainder.
1, 41, 109, 4469
Least Common Multiple of 4465 and 4469 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4465 and 4469, than apply into the LCM equation.
GCF(4465,4469) = 1
LCM(4465,4469) = ( 4465 × 4469) / 1
LCM(4465,4469) = 19954085 / 1
LCM(4465,4469) = 19954085
Properties of LCM 4465 and 4469
(i) The LCM of 4469 and 4465 is associative
LCM of 4465 and 4469 = LCM of 4469 and 4465
Related Least Common Multiples of 4465
Related Least Common Multiples of 4469
Frequently Asked Questions on LCM of 4465 and 4469
1. What is the LCM of 4465 and 4469?
Answer: LCM of 4465 and 4469 is 19954085.
2. What are the Factors of 4465?
Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.
3. What are the Factors of 4469?
Answer: Factors of 4469 are 1, 41, 109, 4469. There are 4 integers that are factors of 4469. The greatest factor of 4469 is 4469.
4. How to Find the LCM of 4465 and 4469?
Answer:
Least Common Multiple of 4465 and 4469 = 19954085
Step 1: Find the prime factorization of 4465
4465 = 5 x 19 x 47
Step 2: Find the prime factorization of 4469
4469 = 41 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19954085 = 5 x 19 x 41 x 47 x 109
Step 4: Therefore, the least common multiple of 4465 and 4469 is 19954085.