Least Common Multiple of 729 and 733
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 729 and 733 the smallest integer that is 534357 that is divisible by both numbers.
Least Common Multiple (LCM) of 729 and 733 is 534357.
LCM(729,733) = 534357
LCM of 729 and 733
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 729 and 733 by Prime method
- Least Common Multiple of 729 and 733 with GCF Formula
LCM of 729 and 733 is 534357
Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 733. First we will calculate the prime factors of 729 and 733.
Prime Factorization of 729
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Prime Factorization of 733
| 733 | 733 |
| 1 |
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 733.
LCM(729,733) = 36×7331
LCM(729,733) = 534357
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1, 733
Least Common Multiple of 729 and 733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 729 and 733, than apply into the LCM equation.
GCF(729,733) = 1
LCM(729,733) = ( 729 × 733) / 1
LCM(729,733) = 534357 / 1
LCM(729,733) = 534357
Properties of LCM 729 and 733
(i) The LCM of 733 and 729 is associative
LCM of 729 and 733 = LCM of 733 and 729
Related Least Common Multiples of 729
Related Least Common Multiples of 733
Frequently Asked Questions on LCM of 729 and 733
1. What is the LCM of 729 and 733?
Answer: LCM of 729 and 733 is 534357.
2. What are the Factors of 729?
Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.
3. What are the Factors of 733?
Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.
4. How to Find the LCM of 729 and 733?
Answer:
Least Common Multiple of 729 and 733 = 534357
Step 1: Find the prime factorization of 729
729 = 3 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 733
733 = 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 534357 = 3 x 3 x 3 x 3 x 3 x 3 x 733
Step 4: Therefore, the least common multiple of 729 and 733 is 534357.