Least Common Multiple of 8722 and 8729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8722 and 8729 the smallest integer that is 10876334 that is divisible by both numbers.
Least Common Multiple (LCM) of 8722 and 8729 is 10876334.
LCM(8722,8729) = 10876334
LCM of 8722 and 8729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8722 and 8729 by Prime method
- Least Common Multiple of 8722 and 8729 with GCF Formula
LCM of 8722 and 8729 is 10876334
Least common multiple can be found by multiplying the highest exponent prime factors of 8722 and 8729. First we will calculate the prime factors of 8722 and 8729.
Prime Factorization of 8722
| 2 | 8722 |
| 7 | 4361 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 8722 are 2, 7,89. Prime factorization of 8722 in exponential form is:
8722 = 21×72×891
Prime Factorization of 8729
| 7 | 8729 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 8729 are 7, 29,43. Prime factorization of 8729 in exponential form is:
8729 = 71×291×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8722 and 8729.
LCM(8722,8729) = 21×72×291×431×891
LCM(8722,8729) = 10876334
Factors of 8722
List of positive integer factors of 8722 that divides 8722 without a remainder.
1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722
Factors of 8729
List of positive integer factors of 8729 that divides 8729 without a remainder.
1, 7, 29, 43, 203, 301, 1247, 8729
Least Common Multiple of 8722 and 8729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8722 and 8729, than apply into the LCM equation.
GCF(8722,8729) = 7
LCM(8722,8729) = ( 8722 × 8729) / 7
LCM(8722,8729) = 76134338 / 7
LCM(8722,8729) = 10876334
Properties of LCM 8722 and 8729
(i) The LCM of 8729 and 8722 is associative
LCM of 8722 and 8729 = LCM of 8729 and 8722
Related Least Common Multiples of 8722
Related Least Common Multiples of 8729
Frequently Asked Questions on LCM of 8722 and 8729
1. What is the LCM of 8722 and 8729?
Answer: LCM of 8722 and 8729 is 10876334.
2. What are the Factors of 8722?
Answer: Factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722. There are 12 integers that are factors of 8722. The greatest factor of 8722 is 8722.
3. What are the Factors of 8729?
Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.
4. How to Find the LCM of 8722 and 8729?
Answer:
Least Common Multiple of 8722 and 8729 = 10876334
Step 1: Find the prime factorization of 8722
8722 = 2 x 7 x 7 x 89
Step 2: Find the prime factorization of 8729
8729 = 7 x 29 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10876334 = 2 x 7 x 7 x 29 x 43 x 89
Step 4: Therefore, the least common multiple of 8722 and 8729 is 10876334.