Least Common Multiple of 81725 and 81733
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81725 and 81733 the smallest integer that is 6679629425 that is divisible by both numbers.
Least Common Multiple (LCM) of 81725 and 81733 is 6679629425.
LCM(81725,81733) = 6679629425
LCM of 81725 and 81733
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81725 and 81733 by Prime method
- Least Common Multiple of 81725 and 81733 with GCF Formula
LCM of 81725 and 81733 is 6679629425
Least common multiple can be found by multiplying the highest exponent prime factors of 81725 and 81733. First we will calculate the prime factors of 81725 and 81733.
Prime Factorization of 81725
| 5 | 81725 |
| 5 | 16345 |
| 7 | 3269 |
| 467 | 467 |
| 1 |
Prime factors of 81725 are 5, 7,467. Prime factorization of 81725 in exponential form is:
81725 = 52×71×4671
Prime Factorization of 81733
| 37 | 81733 |
| 47 | 2209 |
| 47 | 47 |
| 1 |
Prime factors of 81733 are 37,47. Prime factorization of 81733 in exponential form is:
81733 = 371×472
Now multiplying the highest exponent prime factors to calculate the LCM of 81725 and 81733.
LCM(81725,81733) = 52×71×371×472×4671
LCM(81725,81733) = 6679629425
Factors of 81725
List of positive integer factors of 81725 that divides 81725 without a remainder.
1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345, 81725
Factors of 81733
List of positive integer factors of 81733 that divides 81733 without a remainder.
1, 37, 47, 1739, 2209, 81733
Least Common Multiple of 81725 and 81733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81725 and 81733, than apply into the LCM equation.
GCF(81725,81733) = 1
LCM(81725,81733) = ( 81725 × 81733) / 1
LCM(81725,81733) = 6679629425 / 1
LCM(81725,81733) = 6679629425
Properties of LCM 81725 and 81733
(i) The LCM of 81733 and 81725 is associative
LCM of 81725 and 81733 = LCM of 81733 and 81725
Related Least Common Multiples of 81725
Related Least Common Multiples of 81733
Frequently Asked Questions on LCM of 81725 and 81733
1. What is the LCM of 81725 and 81733?
Answer: LCM of 81725 and 81733 is 6679629425.
2. What are the Factors of 81725?
Answer: Factors of 81725 are 1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345, 81725. There are 12 integers that are factors of 81725. The greatest factor of 81725 is 81725.
3. What are the Factors of 81733?
Answer: Factors of 81733 are 1, 37, 47, 1739, 2209, 81733. There are 6 integers that are factors of 81733. The greatest factor of 81733 is 81733.
4. How to Find the LCM of 81725 and 81733?
Answer:
Least Common Multiple of 81725 and 81733 = 6679629425
Step 1: Find the prime factorization of 81725
81725 = 5 x 5 x 7 x 467
Step 2: Find the prime factorization of 81733
81733 = 37 x 47 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6679629425 = 5 x 5 x 7 x 37 x 47 x 47 x 467
Step 4: Therefore, the least common multiple of 81725 and 81733 is 6679629425.