Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 727 and 729 the smallest integer that is 529983 that is divisible by both numbers.
Least Common Multiple (LCM) of 727 and 729 is 529983.
LCM(727,729) = 529983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 729. First we will calculate the prime factors of 727 and 729.
Prime Factorization of 727
727 | 727 |
1 |
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 729.
LCM(727,729) = 36×7271
LCM(727,729) = 529983
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 727 and 729, than apply into the LCM equation.
GCF(727,729) = 1
LCM(727,729) = ( 727 × 729) / 1
LCM(727,729) = 529983 / 1
LCM(727,729) = 529983
(i) The LCM of 729 and 727 is associative
LCM of 727 and 729 = LCM of 729 and 727
1. What is the LCM of 727 and 729?
Answer: LCM of 727 and 729 is 529983.
2. What are the Factors of 727?
Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.
3. 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.
4. How to Find the LCM of 727 and 729?
Answer:
Least Common Multiple of 727 and 729 = 529983
Step 1: Find the prime factorization of 727
727 = 727
Step 2: Find the prime factorization of 729
729 = 3 x 3 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 529983 = 3 x 3 x 3 x 3 x 3 x 3 x 727
Step 4: Therefore, the least common multiple of 727 and 729 is 529983.