Least Common Multiple of 2635 and 2641
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2635 and 2641 the smallest integer that is 6959035 that is divisible by both numbers.
Least Common Multiple (LCM) of 2635 and 2641 is 6959035.
LCM(2635,2641) = 6959035
LCM of 2635 and 2641
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2635 and 2641 by Prime method
- Least Common Multiple of 2635 and 2641 with GCF Formula
LCM of 2635 and 2641 is 6959035
Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2641. First we will calculate the prime factors of 2635 and 2641.
Prime Factorization of 2635
| 5 | 2635 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:
2635 = 51×171×311
Prime Factorization of 2641
| 19 | 2641 |
| 139 | 139 |
| 1 |
Prime factors of 2641 are 19,139. Prime factorization of 2641 in exponential form is:
2641 = 191×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2641.
LCM(2635,2641) = 51×171×191×311×1391
LCM(2635,2641) = 6959035
Factors of 2635
List of positive integer factors of 2635 that divides 2635 without a remainder.
1, 5, 17, 31, 85, 155, 527, 2635
Factors of 2641
List of positive integer factors of 2641 that divides 2641 without a remainder.
1, 19, 139, 2641
Least Common Multiple of 2635 and 2641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2635 and 2641, than apply into the LCM equation.
GCF(2635,2641) = 1
LCM(2635,2641) = ( 2635 × 2641) / 1
LCM(2635,2641) = 6959035 / 1
LCM(2635,2641) = 6959035
Properties of LCM 2635 and 2641
(i) The LCM of 2641 and 2635 is associative
LCM of 2635 and 2641 = LCM of 2641 and 2635
Related Least Common Multiples of 2635
Related Least Common Multiples of 2641
Frequently Asked Questions on LCM of 2635 and 2641
1. What is the LCM of 2635 and 2641?
Answer: LCM of 2635 and 2641 is 6959035.
2. What are the Factors of 2635?
Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.
3. What are the Factors of 2641?
Answer: Factors of 2641 are 1, 19, 139, 2641. There are 4 integers that are factors of 2641. The greatest factor of 2641 is 2641.
4. How to Find the LCM of 2635 and 2641?
Answer:
Least Common Multiple of 2635 and 2641 = 6959035
Step 1: Find the prime factorization of 2635
2635 = 5 x 17 x 31
Step 2: Find the prime factorization of 2641
2641 = 19 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6959035 = 5 x 17 x 19 x 31 x 139
Step 4: Therefore, the least common multiple of 2635 and 2641 is 6959035.