Least Common Multiple of 7605 and 7609
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7605 and 7609 the smallest integer that is 57866445 that is divisible by both numbers.
Least Common Multiple (LCM) of 7605 and 7609 is 57866445.
LCM(7605,7609) = 57866445
LCM of 7605 and 7609
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7605 and 7609 by Prime method
- Least Common Multiple of 7605 and 7609 with GCF Formula
LCM of 7605 and 7609 is 57866445
Least common multiple can be found by multiplying the highest exponent prime factors of 7605 and 7609. First we will calculate the prime factors of 7605 and 7609.
Prime Factorization of 7605
| 3 | 7605 |
| 3 | 2535 |
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 7605 are 3, 5,13. Prime factorization of 7605 in exponential form is:
7605 = 32×51×132
Prime Factorization of 7609
| 7 | 7609 |
| 1087 | 1087 |
| 1 |
Prime factors of 7609 are 7,1087. Prime factorization of 7609 in exponential form is:
7609 = 71×10871
Now multiplying the highest exponent prime factors to calculate the LCM of 7605 and 7609.
LCM(7605,7609) = 32×51×71×132×10871
LCM(7605,7609) = 57866445
Factors of 7605
List of positive integer factors of 7605 that divides 7605 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605
Factors of 7609
List of positive integer factors of 7609 that divides 7609 without a remainder.
1, 7, 1087, 7609
Least Common Multiple of 7605 and 7609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7605 and 7609, than apply into the LCM equation.
GCF(7605,7609) = 1
LCM(7605,7609) = ( 7605 × 7609) / 1
LCM(7605,7609) = 57866445 / 1
LCM(7605,7609) = 57866445
Properties of LCM 7605 and 7609
(i) The LCM of 7609 and 7605 is associative
LCM of 7605 and 7609 = LCM of 7609 and 7605
Related Least Common Multiples of 7605
Related Least Common Multiples of 7609
Frequently Asked Questions on LCM of 7605 and 7609
1. What is the LCM of 7605 and 7609?
Answer: LCM of 7605 and 7609 is 57866445.
2. What are the Factors of 7605?
Answer: Factors of 7605 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605. There are 18 integers that are factors of 7605. The greatest factor of 7605 is 7605.
3. What are the Factors of 7609?
Answer: Factors of 7609 are 1, 7, 1087, 7609. There are 4 integers that are factors of 7609. The greatest factor of 7609 is 7609.
4. How to Find the LCM of 7605 and 7609?
Answer:
Least Common Multiple of 7605 and 7609 = 57866445
Step 1: Find the prime factorization of 7605
7605 = 3 x 3 x 5 x 13 x 13
Step 2: Find the prime factorization of 7609
7609 = 7 x 1087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57866445 = 3 x 3 x 5 x 7 x 13 x 13 x 1087
Step 4: Therefore, the least common multiple of 7605 and 7609 is 57866445.