Least Common Multiple of 2613 and 2621
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2613 and 2621 the smallest integer that is 6848673 that is divisible by both numbers.
Least Common Multiple (LCM) of 2613 and 2621 is 6848673.
LCM(2613,2621) = 6848673
LCM of 2613 and 2621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2613 and 2621 by Prime method
- Least Common Multiple of 2613 and 2621 with GCF Formula
LCM of 2613 and 2621 is 6848673
Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2621. First we will calculate the prime factors of 2613 and 2621.
Prime Factorization of 2613
| 3 | 2613 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 2613 are 3, 13,67. Prime factorization of 2613 in exponential form is:
2613 = 31×131×671
Prime Factorization of 2621
| 2621 | 2621 |
| 1 |
Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:
2621 = 26211
Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2621.
LCM(2613,2621) = 31×131×671×26211
LCM(2613,2621) = 6848673
Factors of 2613
List of positive integer factors of 2613 that divides 2613 without a remainder.
1, 3, 13, 39, 67, 201, 871, 2613
Factors of 2621
List of positive integer factors of 2621 that divides 2621 without a remainder.
1, 2621
Least Common Multiple of 2613 and 2621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2621, than apply into the LCM equation.
GCF(2613,2621) = 1
LCM(2613,2621) = ( 2613 × 2621) / 1
LCM(2613,2621) = 6848673 / 1
LCM(2613,2621) = 6848673
Properties of LCM 2613 and 2621
(i) The LCM of 2621 and 2613 is associative
LCM of 2613 and 2621 = LCM of 2621 and 2613
Related Least Common Multiples of 2613
Related Least Common Multiples of 2621
Frequently Asked Questions on LCM of 2613 and 2621
1. What is the LCM of 2613 and 2621?
Answer: LCM of 2613 and 2621 is 6848673.
2. What are the Factors of 2613?
Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.
3. What are the Factors of 2621?
Answer: Factors of 2621 are 1, 2621. There are 2 integers that are factors of 2621. The greatest factor of 2621 is 2621.
4. How to Find the LCM of 2613 and 2621?
Answer:
Least Common Multiple of 2613 and 2621 = 6848673
Step 1: Find the prime factorization of 2613
2613 = 3 x 13 x 67
Step 2: Find the prime factorization of 2621
2621 = 2621
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6848673 = 3 x 13 x 67 x 2621
Step 4: Therefore, the least common multiple of 2613 and 2621 is 6848673.