Least Common Multiple of 8493 and 8497
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8493 and 8497 the smallest integer that is 72165021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8493 and 8497 is 72165021.
LCM(8493,8497) = 72165021
LCM of 8493 and 8497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8493 and 8497 by Prime method
- Least Common Multiple of 8493 and 8497 with GCF Formula
LCM of 8493 and 8497 is 72165021
Least common multiple can be found by multiplying the highest exponent prime factors of 8493 and 8497. First we will calculate the prime factors of 8493 and 8497.
Prime Factorization of 8493
| 3 | 8493 |
| 19 | 2831 |
| 149 | 149 |
| 1 |
Prime factors of 8493 are 3, 19,149. Prime factorization of 8493 in exponential form is:
8493 = 31×191×1491
Prime Factorization of 8497
| 29 | 8497 |
| 293 | 293 |
| 1 |
Prime factors of 8497 are 29,293. Prime factorization of 8497 in exponential form is:
8497 = 291×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 8493 and 8497.
LCM(8493,8497) = 31×191×291×1491×2931
LCM(8493,8497) = 72165021
Factors of 8493
List of positive integer factors of 8493 that divides 8493 without a remainder.
1, 3, 19, 57, 149, 447, 2831, 8493
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1, 29, 293, 8497
Least Common Multiple of 8493 and 8497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8493 and 8497, than apply into the LCM equation.
GCF(8493,8497) = 1
LCM(8493,8497) = ( 8493 × 8497) / 1
LCM(8493,8497) = 72165021 / 1
LCM(8493,8497) = 72165021
Properties of LCM 8493 and 8497
(i) The LCM of 8497 and 8493 is associative
LCM of 8493 and 8497 = LCM of 8497 and 8493
Related Least Common Multiples of 8493
Related Least Common Multiples of 8497
Frequently Asked Questions on LCM of 8493 and 8497
1. What is the LCM of 8493 and 8497?
Answer: LCM of 8493 and 8497 is 72165021.
2. What are the Factors of 8493?
Answer: Factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493. There are 8 integers that are factors of 8493. The greatest factor of 8493 is 8493.
3. What are the Factors of 8497?
Answer: Factors of 8497 are 1, 29, 293, 8497. There are 4 integers that are factors of 8497. The greatest factor of 8497 is 8497.
4. How to Find the LCM of 8493 and 8497?
Answer:
Least Common Multiple of 8493 and 8497 = 72165021
Step 1: Find the prime factorization of 8493
8493 = 3 x 19 x 149
Step 2: Find the prime factorization of 8497
8497 = 29 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72165021 = 3 x 19 x 29 x 149 x 293
Step 4: Therefore, the least common multiple of 8493 and 8497 is 72165021.