Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2729 and 2732 the smallest integer that is 7455628 that is divisible by both numbers.
Least Common Multiple (LCM) of 2729 and 2732 is 7455628.
LCM(2729,2732) = 7455628
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 2729 and 2732. First we will calculate the prime factors of 2729 and 2732.
Prime Factorization of 2729
2729 | 2729 |
1 |
Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:
2729 = 27291
Prime Factorization of 2732
2 | 2732 |
2 | 1366 |
683 | 683 |
1 |
Prime factors of 2732 are 2,683. Prime factorization of 2732 in exponential form is:
2732 = 22×6831
Now multiplying the highest exponent prime factors to calculate the LCM of 2729 and 2732.
LCM(2729,2732) = 22×6831×27291
LCM(2729,2732) = 7455628
Factors of 2729
List of positive integer factors of 2729 that divides 2729 without a remainder.
1, 2729
Factors of 2732
List of positive integer factors of 2732 that divides 2732 without a remainder.
1, 2, 4, 683, 1366, 2732
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2729 and 2732, than apply into the LCM equation.
GCF(2729,2732) = 1
LCM(2729,2732) = ( 2729 × 2732) / 1
LCM(2729,2732) = 7455628 / 1
LCM(2729,2732) = 7455628
(i) The LCM of 2732 and 2729 is associative
LCM of 2729 and 2732 = LCM of 2732 and 2729
1. What is the LCM of 2729 and 2732?
Answer: LCM of 2729 and 2732 is 7455628.
2. What are the Factors of 2729?
Answer: Factors of 2729 are 1, 2729. There are 2 integers that are factors of 2729. The greatest factor of 2729 is 2729.
3. What are the Factors of 2732?
Answer: Factors of 2732 are 1, 2, 4, 683, 1366, 2732. There are 6 integers that are factors of 2732. The greatest factor of 2732 is 2732.
4. How to Find the LCM of 2729 and 2732?
Answer:
Least Common Multiple of 2729 and 2732 = 7455628
Step 1: Find the prime factorization of 2729
2729 = 2729
Step 2: Find the prime factorization of 2732
2732 = 2 x 2 x 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7455628 = 2 x 2 x 683 x 2729
Step 4: Therefore, the least common multiple of 2729 and 2732 is 7455628.