Least Common Multiple of 22409 and 22413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22409 and 22413 the smallest integer that is 502252917 that is divisible by both numbers.
Least Common Multiple (LCM) of 22409 and 22413 is 502252917.
LCM(22409,22413) = 502252917
LCM of 22409 and 22413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 22409 and 22413 by Prime method
- Least Common Multiple of 22409 and 22413 with GCF Formula
LCM of 22409 and 22413 is 502252917
Least common multiple can be found by multiplying the highest exponent prime factors of 22409 and 22413. First we will calculate the prime factors of 22409 and 22413.
Prime Factorization of 22409
| 22409 | 22409 |
| 1 |
Prime factors of 22409 are 22409. Prime factorization of 22409 in exponential form is:
22409 = 224091
Prime Factorization of 22413
| 3 | 22413 |
| 31 | 7471 |
| 241 | 241 |
| 1 |
Prime factors of 22413 are 3, 31,241. Prime factorization of 22413 in exponential form is:
22413 = 31×311×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 22409 and 22413.
LCM(22409,22413) = 31×311×2411×224091
LCM(22409,22413) = 502252917
Factors of 22409
List of positive integer factors of 22409 that divides 22409 without a remainder.
1, 22409
Factors of 22413
List of positive integer factors of 22413 that divides 22413 without a remainder.
1, 3, 31, 93, 241, 723, 7471, 22413
Least Common Multiple of 22409 and 22413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22409 and 22413, than apply into the LCM equation.
GCF(22409,22413) = 1
LCM(22409,22413) = ( 22409 × 22413) / 1
LCM(22409,22413) = 502252917 / 1
LCM(22409,22413) = 502252917
Properties of LCM 22409 and 22413
(i) The LCM of 22413 and 22409 is associative
LCM of 22409 and 22413 = LCM of 22413 and 22409
Related Least Common Multiples of 22409
Related Least Common Multiples of 22413
Frequently Asked Questions on LCM of 22409 and 22413
1. What is the LCM of 22409 and 22413?
Answer: LCM of 22409 and 22413 is 502252917.
2. What are the Factors of 22409?
Answer: Factors of 22409 are 1, 22409. There are 2 integers that are factors of 22409. The greatest factor of 22409 is 22409.
3. What are the Factors of 22413?
Answer: Factors of 22413 are 1, 3, 31, 93, 241, 723, 7471, 22413. There are 8 integers that are factors of 22413. The greatest factor of 22413 is 22413.
4. How to Find the LCM of 22409 and 22413?
Answer:
Least Common Multiple of 22409 and 22413 = 502252917
Step 1: Find the prime factorization of 22409
22409 = 22409
Step 2: Find the prime factorization of 22413
22413 = 3 x 31 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 502252917 = 3 x 31 x 241 x 22409
Step 4: Therefore, the least common multiple of 22409 and 22413 is 502252917.