Least Common Multiple of 2745 and 2747
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2745 and 2747 the smallest integer that is 7540515 that is divisible by both numbers.
Least Common Multiple (LCM) of 2745 and 2747 is 7540515.
LCM(2745,2747) = 7540515
LCM of 2745 and 2747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2745 and 2747 by Prime method
- Least Common Multiple of 2745 and 2747 with GCF Formula
LCM of 2745 and 2747 is 7540515
Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2747. First we will calculate the prime factors of 2745 and 2747.
Prime Factorization of 2745
| 3 | 2745 |
| 3 | 915 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 2745 are 3, 5,61. Prime factorization of 2745 in exponential form is:
2745 = 32×51×611
Prime Factorization of 2747
| 41 | 2747 |
| 67 | 67 |
| 1 |
Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:
2747 = 411×671
Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2747.
LCM(2745,2747) = 32×51×411×611×671
LCM(2745,2747) = 7540515
Factors of 2745
List of positive integer factors of 2745 that divides 2745 without a remainder.
1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1, 41, 67, 2747
Least Common Multiple of 2745 and 2747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2745 and 2747, than apply into the LCM equation.
GCF(2745,2747) = 1
LCM(2745,2747) = ( 2745 × 2747) / 1
LCM(2745,2747) = 7540515 / 1
LCM(2745,2747) = 7540515
Properties of LCM 2745 and 2747
(i) The LCM of 2747 and 2745 is associative
LCM of 2745 and 2747 = LCM of 2747 and 2745
Related Least Common Multiples of 2745
Related Least Common Multiples of 2747
Frequently Asked Questions on LCM of 2745 and 2747
1. What is the LCM of 2745 and 2747?
Answer: LCM of 2745 and 2747 is 7540515.
2. What are the Factors of 2745?
Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.
3. What are the Factors of 2747?
Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.
4. How to Find the LCM of 2745 and 2747?
Answer:
Least Common Multiple of 2745 and 2747 = 7540515
Step 1: Find the prime factorization of 2745
2745 = 3 x 3 x 5 x 61
Step 2: Find the prime factorization of 2747
2747 = 41 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7540515 = 3 x 3 x 5 x 41 x 61 x 67
Step 4: Therefore, the least common multiple of 2745 and 2747 is 7540515.