Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2723 and 2727 the smallest integer that is 7425621 that is divisible by both numbers.
Least Common Multiple (LCM) of 2723 and 2727 is 7425621.
LCM(2723,2727) = 7425621
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 2723 and 2727. First we will calculate the prime factors of 2723 and 2727.
Prime Factorization of 2723
7 | 2723 |
389 | 389 |
1 |
Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:
2723 = 71×3891
Prime Factorization of 2727
3 | 2727 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 2727 are 3,101. Prime factorization of 2727 in exponential form is:
2727 = 33×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 2723 and 2727.
LCM(2723,2727) = 33×71×1011×3891
LCM(2723,2727) = 7425621
Factors of 2723
List of positive integer factors of 2723 that divides 2723 without a remainder.
1, 7, 389, 2723
Factors of 2727
List of positive integer factors of 2727 that divides 2727 without a remainder.
1, 3, 9, 27, 101, 303, 909, 2727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2723 and 2727, than apply into the LCM equation.
GCF(2723,2727) = 1
LCM(2723,2727) = ( 2723 × 2727) / 1
LCM(2723,2727) = 7425621 / 1
LCM(2723,2727) = 7425621
(i) The LCM of 2727 and 2723 is associative
LCM of 2723 and 2727 = LCM of 2727 and 2723
1. What is the LCM of 2723 and 2727?
Answer: LCM of 2723 and 2727 is 7425621.
2. What are the Factors of 2723?
Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.
3. What are the Factors of 2727?
Answer: Factors of 2727 are 1, 3, 9, 27, 101, 303, 909, 2727. There are 8 integers that are factors of 2727. The greatest factor of 2727 is 2727.
4. How to Find the LCM of 2723 and 2727?
Answer:
Least Common Multiple of 2723 and 2727 = 7425621
Step 1: Find the prime factorization of 2723
2723 = 7 x 389
Step 2: Find the prime factorization of 2727
2727 = 3 x 3 x 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7425621 = 3 x 3 x 3 x 7 x 101 x 389
Step 4: Therefore, the least common multiple of 2723 and 2727 is 7425621.