Least Common Multiple of 81722 and 81729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81722 and 81729 the smallest integer that is 6679057338 that is divisible by both numbers.
Least Common Multiple (LCM) of 81722 and 81729 is 6679057338.
LCM(81722,81729) = 6679057338
LCM of 81722 and 81729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81722 and 81729 by Prime method
- Least Common Multiple of 81722 and 81729 with GCF Formula
LCM of 81722 and 81729 is 6679057338
Least common multiple can be found by multiplying the highest exponent prime factors of 81722 and 81729. First we will calculate the prime factors of 81722 and 81729.
Prime Factorization of 81722
| 2 | 81722 |
| 29 | 40861 |
| 1409 | 1409 |
| 1 |
Prime factors of 81722 are 2, 29,1409. Prime factorization of 81722 in exponential form is:
81722 = 21×291×14091
Prime Factorization of 81729
| 3 | 81729 |
| 3 | 27243 |
| 3 | 9081 |
| 3 | 3027 |
| 1009 | 1009 |
| 1 |
Prime factors of 81729 are 3,1009. Prime factorization of 81729 in exponential form is:
81729 = 34×10091
Now multiplying the highest exponent prime factors to calculate the LCM of 81722 and 81729.
LCM(81722,81729) = 21×34×291×10091×14091
LCM(81722,81729) = 6679057338
Factors of 81722
List of positive integer factors of 81722 that divides 81722 without a remainder.
1, 2, 29, 58, 1409, 2818, 40861, 81722
Factors of 81729
List of positive integer factors of 81729 that divides 81729 without a remainder.
1, 3, 9, 27, 81, 1009, 3027, 9081, 27243, 81729
Least Common Multiple of 81722 and 81729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81722 and 81729, than apply into the LCM equation.
GCF(81722,81729) = 1
LCM(81722,81729) = ( 81722 × 81729) / 1
LCM(81722,81729) = 6679057338 / 1
LCM(81722,81729) = 6679057338
Properties of LCM 81722 and 81729
(i) The LCM of 81729 and 81722 is associative
LCM of 81722 and 81729 = LCM of 81729 and 81722
Related Least Common Multiples of 81722
Related Least Common Multiples of 81729
Frequently Asked Questions on LCM of 81722 and 81729
1. What is the LCM of 81722 and 81729?
Answer: LCM of 81722 and 81729 is 6679057338.
2. What are the Factors of 81722?
Answer: Factors of 81722 are 1, 2, 29, 58, 1409, 2818, 40861, 81722. There are 8 integers that are factors of 81722. The greatest factor of 81722 is 81722.
3. What are the Factors of 81729?
Answer: Factors of 81729 are 1, 3, 9, 27, 81, 1009, 3027, 9081, 27243, 81729. There are 10 integers that are factors of 81729. The greatest factor of 81729 is 81729.
4. How to Find the LCM of 81722 and 81729?
Answer:
Least Common Multiple of 81722 and 81729 = 6679057338
Step 1: Find the prime factorization of 81722
81722 = 2 x 29 x 1409
Step 2: Find the prime factorization of 81729
81729 = 3 x 3 x 3 x 3 x 1009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6679057338 = 2 x 3 x 3 x 3 x 3 x 29 x 1009 x 1409
Step 4: Therefore, the least common multiple of 81722 and 81729 is 6679057338.