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 8506 the smallest integer that is 72292494 that is divisible by both numbers.
Least Common Multiple (LCM) of 8499 and 8506 is 72292494.
LCM(8499,8506) = 72292494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8499 and 8506. First we will calculate the prime factors of 8499 and 8506.
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 8506
2 | 8506 |
4253 | 4253 |
1 |
Prime factors of 8506 are 2,4253. Prime factorization of 8506 in exponential form is:
8506 = 21×42531
Now multiplying the highest exponent prime factors to calculate the LCM of 8499 and 8506.
LCM(8499,8506) = 21×31×28331×42531
LCM(8499,8506) = 72292494
Factors of 8499
List of positive integer factors of 8499 that divides 8499 without a remainder.
1, 3, 2833, 8499
Factors of 8506
List of positive integer factors of 8506 that divides 8506 without a remainder.
1, 2, 4253, 8506
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8499 and 8506, than apply into the LCM equation.
GCF(8499,8506) = 1
LCM(8499,8506) = ( 8499 × 8506) / 1
LCM(8499,8506) = 72292494 / 1
LCM(8499,8506) = 72292494
(i) The LCM of 8506 and 8499 is associative
LCM of 8499 and 8506 = LCM of 8506 and 8499
1. What is the LCM of 8499 and 8506?
Answer: LCM of 8499 and 8506 is 72292494.
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 8506?
Answer: Factors of 8506 are 1, 2, 4253, 8506. There are 4 integers that are factors of 8506. The greatest factor of 8506 is 8506.
4. How to Find the LCM of 8499 and 8506?
Answer:
Least Common Multiple of 8499 and 8506 = 72292494
Step 1: Find the prime factorization of 8499
8499 = 3 x 2833
Step 2: Find the prime factorization of 8506
8506 = 2 x 4253
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72292494 = 2 x 3 x 2833 x 4253
Step 4: Therefore, the least common multiple of 8499 and 8506 is 72292494.