Least Common Multiple of 8494 and 8499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8494 and 8499 the smallest integer that is 72190506 that is divisible by both numbers.
Least Common Multiple (LCM) of 8494 and 8499 is 72190506.
LCM(8494,8499) = 72190506
LCM of 8494 and 8499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8494 and 8499 by Prime method
- Least Common Multiple of 8494 and 8499 with GCF Formula
LCM of 8494 and 8499 is 72190506
Least common multiple can be found by multiplying the highest exponent prime factors of 8494 and 8499. First we will calculate the prime factors of 8494 and 8499.
Prime Factorization of 8494
| 2 | 8494 |
| 31 | 4247 |
| 137 | 137 |
| 1 |
Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:
8494 = 21×311×1371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8494 and 8499.
LCM(8494,8499) = 21×31×311×1371×28331
LCM(8494,8499) = 72190506
Factors of 8494
List of positive integer factors of 8494 that divides 8494 without a remainder.
1, 2, 31, 62, 137, 274, 4247, 8494
Factors of 8499
List of positive integer factors of 8499 that divides 8499 without a remainder.
1, 3, 2833, 8499
Least Common Multiple of 8494 and 8499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8494 and 8499, than apply into the LCM equation.
GCF(8494,8499) = 1
LCM(8494,8499) = ( 8494 × 8499) / 1
LCM(8494,8499) = 72190506 / 1
LCM(8494,8499) = 72190506
Properties of LCM 8494 and 8499
(i) The LCM of 8499 and 8494 is associative
LCM of 8494 and 8499 = LCM of 8499 and 8494
Related Least Common Multiples of 8494
Related Least Common Multiples of 8499
Frequently Asked Questions on LCM of 8494 and 8499
1. What is the LCM of 8494 and 8499?
Answer: LCM of 8494 and 8499 is 72190506.
2. What are the Factors of 8494?
Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.
3. 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.
4. How to Find the LCM of 8494 and 8499?
Answer:
Least Common Multiple of 8494 and 8499 = 72190506
Step 1: Find the prime factorization of 8494
8494 = 2 x 31 x 137
Step 2: Find the prime factorization of 8499
8499 = 3 x 2833
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72190506 = 2 x 3 x 31 x 137 x 2833
Step 4: Therefore, the least common multiple of 8494 and 8499 is 72190506.