Least Common Multiple of 4499 and 4505
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4499 and 4505 the smallest integer that is 20267995 that is divisible by both numbers.
Least Common Multiple (LCM) of 4499 and 4505 is 20267995.
LCM(4499,4505) = 20267995
LCM of 4499 and 4505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4499 and 4505 by Prime method
- Least Common Multiple of 4499 and 4505 with GCF Formula
LCM of 4499 and 4505 is 20267995
Least common multiple can be found by multiplying the highest exponent prime factors of 4499 and 4505. First we will calculate the prime factors of 4499 and 4505.
Prime Factorization of 4499
| 11 | 4499 |
| 409 | 409 |
| 1 |
Prime factors of 4499 are 11,409. Prime factorization of 4499 in exponential form is:
4499 = 111×4091
Prime Factorization of 4505
| 5 | 4505 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 4505 are 5, 17,53. Prime factorization of 4505 in exponential form is:
4505 = 51×171×531
Now multiplying the highest exponent prime factors to calculate the LCM of 4499 and 4505.
LCM(4499,4505) = 51×111×171×531×4091
LCM(4499,4505) = 20267995
Factors of 4499
List of positive integer factors of 4499 that divides 4499 without a remainder.
1, 11, 409, 4499
Factors of 4505
List of positive integer factors of 4505 that divides 4505 without a remainder.
1, 5, 17, 53, 85, 265, 901, 4505
Least Common Multiple of 4499 and 4505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4499 and 4505, than apply into the LCM equation.
GCF(4499,4505) = 1
LCM(4499,4505) = ( 4499 × 4505) / 1
LCM(4499,4505) = 20267995 / 1
LCM(4499,4505) = 20267995
Properties of LCM 4499 and 4505
(i) The LCM of 4505 and 4499 is associative
LCM of 4499 and 4505 = LCM of 4505 and 4499
Related Least Common Multiples of 4499
Related Least Common Multiples of 4505
Frequently Asked Questions on LCM of 4499 and 4505
1. What is the LCM of 4499 and 4505?
Answer: LCM of 4499 and 4505 is 20267995.
2. What are the Factors of 4499?
Answer: Factors of 4499 are 1, 11, 409, 4499. There are 4 integers that are factors of 4499. The greatest factor of 4499 is 4499.
3. What are the Factors of 4505?
Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.
4. How to Find the LCM of 4499 and 4505?
Answer:
Least Common Multiple of 4499 and 4505 = 20267995
Step 1: Find the prime factorization of 4499
4499 = 11 x 409
Step 2: Find the prime factorization of 4505
4505 = 5 x 17 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20267995 = 5 x 11 x 17 x 53 x 409
Step 4: Therefore, the least common multiple of 4499 and 4505 is 20267995.