Least Common Multiple of 81722 and 81727
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 81727 the smallest integer that is 6678893894 that is divisible by both numbers.
Least Common Multiple (LCM) of 81722 and 81727 is 6678893894.
LCM(81722,81727) = 6678893894
LCM of 81722 and 81727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81722 and 81727 by Prime method
- Least Common Multiple of 81722 and 81727 with GCF Formula
LCM of 81722 and 81727 is 6678893894
Least common multiple can be found by multiplying the highest exponent prime factors of 81722 and 81727. First we will calculate the prime factors of 81722 and 81727.
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 81727
| 81727 | 81727 |
| 1 |
Prime factors of 81727 are 81727. Prime factorization of 81727 in exponential form is:
81727 = 817271
Now multiplying the highest exponent prime factors to calculate the LCM of 81722 and 81727.
LCM(81722,81727) = 21×291×14091×817271
LCM(81722,81727) = 6678893894
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 81727
List of positive integer factors of 81727 that divides 81727 without a remainder.
1, 81727
Least Common Multiple of 81722 and 81727 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 81727, than apply into the LCM equation.
GCF(81722,81727) = 1
LCM(81722,81727) = ( 81722 × 81727) / 1
LCM(81722,81727) = 6678893894 / 1
LCM(81722,81727) = 6678893894
Properties of LCM 81722 and 81727
(i) The LCM of 81727 and 81722 is associative
LCM of 81722 and 81727 = LCM of 81727 and 81722
Related Least Common Multiples of 81722
Related Least Common Multiples of 81727
Frequently Asked Questions on LCM of 81722 and 81727
1. What is the LCM of 81722 and 81727?
Answer: LCM of 81722 and 81727 is 6678893894.
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 81727?
Answer: Factors of 81727 are 1, 81727. There are 2 integers that are factors of 81727. The greatest factor of 81727 is 81727.
4. How to Find the LCM of 81722 and 81727?
Answer:
Least Common Multiple of 81722 and 81727 = 6678893894
Step 1: Find the prime factorization of 81722
81722 = 2 x 29 x 1409
Step 2: Find the prime factorization of 81727
81727 = 81727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6678893894 = 2 x 29 x 1409 x 81727
Step 4: Therefore, the least common multiple of 81722 and 81727 is 6678893894.