Least Common Multiple of 613 and 621
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 613 and 621 the smallest integer that is 380673 that is divisible by both numbers.
Least Common Multiple (LCM) of 613 and 621 is 380673.
LCM(613,621) = 380673
LCM of 613 and 621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 613 and 621 by Prime method
- Least Common Multiple of 613 and 621 with GCF Formula
LCM of 613 and 621 is 380673
Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 621. First we will calculate the prime factors of 613 and 621.
Prime Factorization of 613
| 613 | 613 |
| 1 |
Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:
613 = 6131
Prime Factorization of 621
| 3 | 621 |
| 3 | 207 |
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:
621 = 33×231
Now multiplying the highest exponent prime factors to calculate the LCM of 613 and 621.
LCM(613,621) = 33×231×6131
LCM(613,621) = 380673
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1, 613
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Least Common Multiple of 613 and 621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 613 and 621, than apply into the LCM equation.
GCF(613,621) = 1
LCM(613,621) = ( 613 × 621) / 1
LCM(613,621) = 380673 / 1
LCM(613,621) = 380673
Properties of LCM 613 and 621
(i) The LCM of 621 and 613 is associative
LCM of 613 and 621 = LCM of 621 and 613
Related Least Common Multiples of 613
Related Least Common Multiples of 621
Frequently Asked Questions on LCM of 613 and 621
1. What is the LCM of 613 and 621?
Answer: LCM of 613 and 621 is 380673.
2. What are the Factors of 613?
Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.
3. What are the Factors of 621?
Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.
4. How to Find the LCM of 613 and 621?
Answer:
Least Common Multiple of 613 and 621 = 380673
Step 1: Find the prime factorization of 613
613 = 613
Step 2: Find the prime factorization of 621
621 = 3 x 3 x 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 = 380673 = 3 x 3 x 3 x 23 x 613
Step 4: Therefore, the least common multiple of 613 and 621 is 380673.