Least Common Multiple of 8626 and 8633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8626 and 8633 the smallest integer that is 74468258 that is divisible by both numbers.
Least Common Multiple (LCM) of 8626 and 8633 is 74468258.
LCM(8626,8633) = 74468258
LCM of 8626 and 8633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8626 and 8633 by Prime method
- Least Common Multiple of 8626 and 8633 with GCF Formula
LCM of 8626 and 8633 is 74468258
Least common multiple can be found by multiplying the highest exponent prime factors of 8626 and 8633. First we will calculate the prime factors of 8626 and 8633.
Prime Factorization of 8626
| 2 | 8626 |
| 19 | 4313 |
| 227 | 227 |
| 1 |
Prime factors of 8626 are 2, 19,227. Prime factorization of 8626 in exponential form is:
8626 = 21×191×2271
Prime Factorization of 8633
| 89 | 8633 |
| 97 | 97 |
| 1 |
Prime factors of 8633 are 89,97. Prime factorization of 8633 in exponential form is:
8633 = 891×971
Now multiplying the highest exponent prime factors to calculate the LCM of 8626 and 8633.
LCM(8626,8633) = 21×191×891×971×2271
LCM(8626,8633) = 74468258
Factors of 8626
List of positive integer factors of 8626 that divides 8626 without a remainder.
1, 2, 19, 38, 227, 454, 4313, 8626
Factors of 8633
List of positive integer factors of 8633 that divides 8633 without a remainder.
1, 89, 97, 8633
Least Common Multiple of 8626 and 8633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8626 and 8633, than apply into the LCM equation.
GCF(8626,8633) = 1
LCM(8626,8633) = ( 8626 × 8633) / 1
LCM(8626,8633) = 74468258 / 1
LCM(8626,8633) = 74468258
Properties of LCM 8626 and 8633
(i) The LCM of 8633 and 8626 is associative
LCM of 8626 and 8633 = LCM of 8633 and 8626
Related Least Common Multiples of 8626
Related Least Common Multiples of 8633
Frequently Asked Questions on LCM of 8626 and 8633
1. What is the LCM of 8626 and 8633?
Answer: LCM of 8626 and 8633 is 74468258.
2. What are the Factors of 8626?
Answer: Factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626. There are 8 integers that are factors of 8626. The greatest factor of 8626 is 8626.
3. What are the Factors of 8633?
Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.
4. How to Find the LCM of 8626 and 8633?
Answer:
Least Common Multiple of 8626 and 8633 = 74468258
Step 1: Find the prime factorization of 8626
8626 = 2 x 19 x 227
Step 2: Find the prime factorization of 8633
8633 = 89 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74468258 = 2 x 19 x 89 x 97 x 227
Step 4: Therefore, the least common multiple of 8626 and 8633 is 74468258.