Least Common Multiple of 2645 and 2653
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2645 and 2653 the smallest integer that is 7017185 that is divisible by both numbers.
Least Common Multiple (LCM) of 2645 and 2653 is 7017185.
LCM(2645,2653) = 7017185
LCM of 2645 and 2653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2645 and 2653 by Prime method
- Least Common Multiple of 2645 and 2653 with GCF Formula
LCM of 2645 and 2653 is 7017185
Least common multiple can be found by multiplying the highest exponent prime factors of 2645 and 2653. First we will calculate the prime factors of 2645 and 2653.
Prime Factorization of 2645
| 5 | 2645 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 2645 are 5,23. Prime factorization of 2645 in exponential form is:
2645 = 51×232
Prime Factorization of 2653
| 7 | 2653 |
| 379 | 379 |
| 1 |
Prime factors of 2653 are 7,379. Prime factorization of 2653 in exponential form is:
2653 = 71×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 2645 and 2653.
LCM(2645,2653) = 51×71×232×3791
LCM(2645,2653) = 7017185
Factors of 2645
List of positive integer factors of 2645 that divides 2645 without a remainder.
1, 5, 23, 115, 529, 2645
Factors of 2653
List of positive integer factors of 2653 that divides 2653 without a remainder.
1, 7, 379, 2653
Least Common Multiple of 2645 and 2653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2645 and 2653, than apply into the LCM equation.
GCF(2645,2653) = 1
LCM(2645,2653) = ( 2645 × 2653) / 1
LCM(2645,2653) = 7017185 / 1
LCM(2645,2653) = 7017185
Properties of LCM 2645 and 2653
(i) The LCM of 2653 and 2645 is associative
LCM of 2645 and 2653 = LCM of 2653 and 2645
Related Least Common Multiples of 2645
Related Least Common Multiples of 2653
Frequently Asked Questions on LCM of 2645 and 2653
1. What is the LCM of 2645 and 2653?
Answer: LCM of 2645 and 2653 is 7017185.
2. What are the Factors of 2645?
Answer: Factors of 2645 are 1, 5, 23, 115, 529, 2645. There are 6 integers that are factors of 2645. The greatest factor of 2645 is 2645.
3. What are the Factors of 2653?
Answer: Factors of 2653 are 1, 7, 379, 2653. There are 4 integers that are factors of 2653. The greatest factor of 2653 is 2653.
4. How to Find the LCM of 2645 and 2653?
Answer:
Least Common Multiple of 2645 and 2653 = 7017185
Step 1: Find the prime factorization of 2645
2645 = 5 x 23 x 23
Step 2: Find the prime factorization of 2653
2653 = 7 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7017185 = 5 x 7 x 23 x 23 x 379
Step 4: Therefore, the least common multiple of 2645 and 2653 is 7017185.