Least Common Multiple of 8490 and 8493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8490 and 8493 the smallest integer that is 24035190 that is divisible by both numbers.
Least Common Multiple (LCM) of 8490 and 8493 is 24035190.
LCM(8490,8493) = 24035190
LCM of 8490 and 8493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8490 and 8493 by Prime method
- Least Common Multiple of 8490 and 8493 with GCF Formula
LCM of 8490 and 8493 is 24035190
Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8493. First we will calculate the prime factors of 8490 and 8493.
Prime Factorization of 8490
| 2 | 8490 |
| 3 | 4245 |
| 5 | 1415 |
| 283 | 283 |
| 1 |
Prime factors of 8490 are 2, 3, 5,283. Prime factorization of 8490 in exponential form is:
8490 = 21×31×51×2831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8490 and 8493.
LCM(8490,8493) = 21×31×51×191×1491×2831
LCM(8490,8493) = 24035190
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
Factors of 8493
List of positive integer factors of 8493 that divides 8493 without a remainder.
1, 3, 19, 57, 149, 447, 2831, 8493
Least Common Multiple of 8490 and 8493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8490 and 8493, than apply into the LCM equation.
GCF(8490,8493) = 3
LCM(8490,8493) = ( 8490 × 8493) / 3
LCM(8490,8493) = 72105570 / 3
LCM(8490,8493) = 24035190
Properties of LCM 8490 and 8493
(i) The LCM of 8493 and 8490 is associative
LCM of 8490 and 8493 = LCM of 8493 and 8490
Related Least Common Multiples of 8490
Related Least Common Multiples of 8493
Frequently Asked Questions on LCM of 8490 and 8493
1. What is the LCM of 8490 and 8493?
Answer: LCM of 8490 and 8493 is 24035190.
2. What are the Factors of 8490?
Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.
3. 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.
4. How to Find the LCM of 8490 and 8493?
Answer:
Least Common Multiple of 8490 and 8493 = 24035190
Step 1: Find the prime factorization of 8490
8490 = 2 x 3 x 5 x 283
Step 2: Find the prime factorization of 8493
8493 = 3 x 19 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24035190 = 2 x 3 x 5 x 19 x 149 x 283
Step 4: Therefore, the least common multiple of 8490 and 8493 is 24035190.