Least Common Multiple of 65 and 69
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 65 and 69 the smallest integer that is 4485 that is divisible by both numbers.
Least Common Multiple (LCM) of 65 and 69 is 4485.
LCM(65,69) = 4485
LCM of 65 and 69
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 65 and 69 by Prime method
- Least Common Multiple of 65 and 69 with GCF Formula
LCM of 65 and 69 is 4485
Least common multiple can be found by multiplying the highest exponent prime factors of 65 and 69. First we will calculate the prime factors of 65 and 69.
Prime Factorization of 65
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 65 are 5,13. Prime factorization of 65 in exponential form is:
65 = 51×131
Prime Factorization of 69
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:
69 = 31×231
Now multiplying the highest exponent prime factors to calculate the LCM of 65 and 69.
LCM(65,69) = 31×51×131×231
LCM(65,69) = 4485
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Least Common Multiple of 65 and 69 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65 and 69, than apply into the LCM equation.
GCF(65,69) = 1
LCM(65,69) = ( 65 × 69) / 1
LCM(65,69) = 4485 / 1
LCM(65,69) = 4485
Properties of LCM 65 and 69
(i) The LCM of 69 and 65 is associative
LCM of 65 and 69 = LCM of 69 and 65
Related Least Common Multiples of 65
Related Least Common Multiples of 69
Frequently Asked Questions on LCM of 65 and 69
1. What is the LCM of 65 and 69?
Answer: LCM of 65 and 69 is 4485.
2. What are the Factors of 65?
Answer: Factors of 65 are 1, 5, 13, 65. There are 4 integers that are factors of 65. The greatest factor of 65 is 65.
3. What are the Factors of 69?
Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.
4. How to Find the LCM of 65 and 69?
Answer:
Least Common Multiple of 65 and 69 = 4485
Step 1: Find the prime factorization of 65
65 = 5 x 13
Step 2: Find the prime factorization of 69
69 = 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4485 = 3 x 5 x 13 x 23
Step 4: Therefore, the least common multiple of 65 and 69 is 4485.