Least Common Multiple of 8499 and 8503
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8499 and 8503 the smallest integer that is 72266997 that is divisible by both numbers.
Least Common Multiple (LCM) of 8499 and 8503 is 72266997.
LCM(8499,8503) = 72266997
LCM of 8499 and 8503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8499 and 8503 by Prime method
- Least Common Multiple of 8499 and 8503 with GCF Formula
LCM of 8499 and 8503 is 72266997
Least common multiple can be found by multiplying the highest exponent prime factors of 8499 and 8503. First we will calculate the prime factors of 8499 and 8503.
Prime Factorization of 8499
| 3 | 8499 |
| 2833 | 2833 |
| 1 |
Prime factors of 8499 are 3,2833. Prime factorization of 8499 in exponential form is:
8499 = 31×28331
Prime Factorization of 8503
| 11 | 8503 |
| 773 | 773 |
| 1 |
Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:
8503 = 111×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 8499 and 8503.
LCM(8499,8503) = 31×111×7731×28331
LCM(8499,8503) = 72266997
Factors of 8499
List of positive integer factors of 8499 that divides 8499 without a remainder.
1, 3, 2833, 8499
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1, 11, 773, 8503
Least Common Multiple of 8499 and 8503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8499 and 8503, than apply into the LCM equation.
GCF(8499,8503) = 1
LCM(8499,8503) = ( 8499 × 8503) / 1
LCM(8499,8503) = 72266997 / 1
LCM(8499,8503) = 72266997
Properties of LCM 8499 and 8503
(i) The LCM of 8503 and 8499 is associative
LCM of 8499 and 8503 = LCM of 8503 and 8499
Related Least Common Multiples of 8499
Related Least Common Multiples of 8503
Frequently Asked Questions on LCM of 8499 and 8503
1. What is the LCM of 8499 and 8503?
Answer: LCM of 8499 and 8503 is 72266997.
2. What are the Factors of 8499?
Answer: Factors of 8499 are 1, 3, 2833, 8499. There are 4 integers that are factors of 8499. The greatest factor of 8499 is 8499.
3. What are the Factors of 8503?
Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.
4. How to Find the LCM of 8499 and 8503?
Answer:
Least Common Multiple of 8499 and 8503 = 72266997
Step 1: Find the prime factorization of 8499
8499 = 3 x 2833
Step 2: Find the prime factorization of 8503
8503 = 11 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72266997 = 3 x 11 x 773 x 2833
Step 4: Therefore, the least common multiple of 8499 and 8503 is 72266997.
