Least Common Multiple of 2639 and 2645
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2639 and 2645 the smallest integer that is 6980155 that is divisible by both numbers.
Least Common Multiple (LCM) of 2639 and 2645 is 6980155.
LCM(2639,2645) = 6980155
LCM of 2639 and 2645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2639 and 2645 by Prime method
- Least Common Multiple of 2639 and 2645 with GCF Formula
LCM of 2639 and 2645 is 6980155
Least common multiple can be found by multiplying the highest exponent prime factors of 2639 and 2645. First we will calculate the prime factors of 2639 and 2645.
Prime Factorization of 2639
| 7 | 2639 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 2639 are 7, 13,29. Prime factorization of 2639 in exponential form is:
2639 = 71×131×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2639 and 2645.
LCM(2639,2645) = 51×71×131×232×291
LCM(2639,2645) = 6980155
Factors of 2639
List of positive integer factors of 2639 that divides 2639 without a remainder.
1, 7, 13, 29, 91, 203, 377, 2639
Factors of 2645
List of positive integer factors of 2645 that divides 2645 without a remainder.
1, 5, 23, 115, 529, 2645
Least Common Multiple of 2639 and 2645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2639 and 2645, than apply into the LCM equation.
GCF(2639,2645) = 1
LCM(2639,2645) = ( 2639 × 2645) / 1
LCM(2639,2645) = 6980155 / 1
LCM(2639,2645) = 6980155
Properties of LCM 2639 and 2645
(i) The LCM of 2645 and 2639 is associative
LCM of 2639 and 2645 = LCM of 2645 and 2639
Related Least Common Multiples of 2639
Related Least Common Multiples of 2645
Frequently Asked Questions on LCM of 2639 and 2645
1. What is the LCM of 2639 and 2645?
Answer: LCM of 2639 and 2645 is 6980155.
2. What are the Factors of 2639?
Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.
3. 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.
4. How to Find the LCM of 2639 and 2645?
Answer:
Least Common Multiple of 2639 and 2645 = 6980155
Step 1: Find the prime factorization of 2639
2639 = 7 x 13 x 29
Step 2: Find the prime factorization of 2645
2645 = 5 x 23 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 = 6980155 = 5 x 7 x 13 x 23 x 23 x 29
Step 4: Therefore, the least common multiple of 2639 and 2645 is 6980155.