Least Common Multiple of 4499 and 4503
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 4503 the smallest integer that is 20258997 that is divisible by both numbers.
Least Common Multiple (LCM) of 4499 and 4503 is 20258997.
LCM(4499,4503) = 20258997
LCM of 4499 and 4503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4499 and 4503 by Prime method
- Least Common Multiple of 4499 and 4503 with GCF Formula
LCM of 4499 and 4503 is 20258997
Least common multiple can be found by multiplying the highest exponent prime factors of 4499 and 4503. First we will calculate the prime factors of 4499 and 4503.
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 4503
| 3 | 4503 |
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 4503 are 3, 19,79. Prime factorization of 4503 in exponential form is:
4503 = 31×191×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4499 and 4503.
LCM(4499,4503) = 31×111×191×791×4091
LCM(4499,4503) = 20258997
Factors of 4499
List of positive integer factors of 4499 that divides 4499 without a remainder.
1, 11, 409, 4499
Factors of 4503
List of positive integer factors of 4503 that divides 4503 without a remainder.
1, 3, 19, 57, 79, 237, 1501, 4503
Least Common Multiple of 4499 and 4503 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 4503, than apply into the LCM equation.
GCF(4499,4503) = 1
LCM(4499,4503) = ( 4499 × 4503) / 1
LCM(4499,4503) = 20258997 / 1
LCM(4499,4503) = 20258997
Properties of LCM 4499 and 4503
(i) The LCM of 4503 and 4499 is associative
LCM of 4499 and 4503 = LCM of 4503 and 4499
Related Least Common Multiples of 4499
Related Least Common Multiples of 4503
Frequently Asked Questions on LCM of 4499 and 4503
1. What is the LCM of 4499 and 4503?
Answer: LCM of 4499 and 4503 is 20258997.
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 4503?
Answer: Factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503. There are 8 integers that are factors of 4503. The greatest factor of 4503 is 4503.
4. How to Find the LCM of 4499 and 4503?
Answer:
Least Common Multiple of 4499 and 4503 = 20258997
Step 1: Find the prime factorization of 4499
4499 = 11 x 409
Step 2: Find the prime factorization of 4503
4503 = 3 x 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20258997 = 3 x 11 x 19 x 79 x 409
Step 4: Therefore, the least common multiple of 4499 and 4503 is 20258997.