Least Common Multiple of 321409 and 321413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 321409 and 321413 the smallest integer that is 103305030917 that is divisible by both numbers.
Least Common Multiple (LCM) of 321409 and 321413 is 103305030917.
LCM(321409,321413) = 103305030917
LCM of 321409 and 321413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321409 and 321413 by Prime method
- Least Common Multiple of 321409 and 321413 with GCF Formula
LCM of 321409 and 321413 is 103305030917
Least common multiple can be found by multiplying the highest exponent prime factors of 321409 and 321413. First we will calculate the prime factors of 321409 and 321413.
Prime Factorization of 321409
| 11 | 321409 |
| 61 | 29219 |
| 479 | 479 |
| 1 |
Prime factors of 321409 are 11, 61,479. Prime factorization of 321409 in exponential form is:
321409 = 111×611×4791
Prime Factorization of 321413
| 321413 | 321413 |
| 1 |
Prime factors of 321413 are 321413. Prime factorization of 321413 in exponential form is:
321413 = 3214131
Now multiplying the highest exponent prime factors to calculate the LCM of 321409 and 321413.
LCM(321409,321413) = 111×611×4791×3214131
LCM(321409,321413) = 103305030917
Factors of 321409
List of positive integer factors of 321409 that divides 321409 without a remainder.
1, 11, 61, 479, 671, 5269, 29219, 321409
Factors of 321413
List of positive integer factors of 321413 that divides 321413 without a remainder.
1, 321413
Least Common Multiple of 321409 and 321413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321409 and 321413, than apply into the LCM equation.
GCF(321409,321413) = 1
LCM(321409,321413) = ( 321409 × 321413) / 1
LCM(321409,321413) = 103305030917 / 1
LCM(321409,321413) = 103305030917
Properties of LCM 321409 and 321413
(i) The LCM of 321413 and 321409 is associative
LCM of 321409 and 321413 = LCM of 321413 and 321409
Related Least Common Multiples of 321409
Related Least Common Multiples of 321413
Frequently Asked Questions on LCM of 321409 and 321413
1. What is the LCM of 321409 and 321413?
Answer: LCM of 321409 and 321413 is 103305030917.
2. What are the Factors of 321409?
Answer: Factors of 321409 are 1, 11, 61, 479, 671, 5269, 29219, 321409. There are 8 integers that are factors of 321409. The greatest factor of 321409 is 321409.
3. What are the Factors of 321413?
Answer: Factors of 321413 are 1, 321413. There are 2 integers that are factors of 321413. The greatest factor of 321413 is 321413.
4. How to Find the LCM of 321409 and 321413?
Answer:
Least Common Multiple of 321409 and 321413 = 103305030917
Step 1: Find the prime factorization of 321409
321409 = 11 x 61 x 479
Step 2: Find the prime factorization of 321413
321413 = 321413
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103305030917 = 11 x 61 x 479 x 321413
Step 4: Therefore, the least common multiple of 321409 and 321413 is 103305030917.