Least Common Multiple of 22401 and 22409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22401 and 22409 the smallest integer that is 501984009 that is divisible by both numbers.
Least Common Multiple (LCM) of 22401 and 22409 is 501984009.
LCM(22401,22409) = 501984009
LCM of 22401 and 22409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 22401 and 22409 by Prime method
- Least Common Multiple of 22401 and 22409 with GCF Formula
LCM of 22401 and 22409 is 501984009
Least common multiple can be found by multiplying the highest exponent prime factors of 22401 and 22409. First we will calculate the prime factors of 22401 and 22409.
Prime Factorization of 22401
| 3 | 22401 |
| 3 | 7467 |
| 19 | 2489 |
| 131 | 131 |
| 1 |
Prime factors of 22401 are 3, 19,131. Prime factorization of 22401 in exponential form is:
22401 = 32×191×1311
Prime Factorization of 22409
| 22409 | 22409 |
| 1 |
Prime factors of 22409 are 22409. Prime factorization of 22409 in exponential form is:
22409 = 224091
Now multiplying the highest exponent prime factors to calculate the LCM of 22401 and 22409.
LCM(22401,22409) = 32×191×1311×224091
LCM(22401,22409) = 501984009
Factors of 22401
List of positive integer factors of 22401 that divides 22401 without a remainder.
1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401
Factors of 22409
List of positive integer factors of 22409 that divides 22409 without a remainder.
1, 22409
Least Common Multiple of 22401 and 22409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22401 and 22409, than apply into the LCM equation.
GCF(22401,22409) = 1
LCM(22401,22409) = ( 22401 × 22409) / 1
LCM(22401,22409) = 501984009 / 1
LCM(22401,22409) = 501984009
Properties of LCM 22401 and 22409
(i) The LCM of 22409 and 22401 is associative
LCM of 22401 and 22409 = LCM of 22409 and 22401
Related Least Common Multiples of 22401
Related Least Common Multiples of 22409
Frequently Asked Questions on LCM of 22401 and 22409
1. What is the LCM of 22401 and 22409?
Answer: LCM of 22401 and 22409 is 501984009.
2. What are the Factors of 22401?
Answer: Factors of 22401 are 1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401. There are 12 integers that are factors of 22401. The greatest factor of 22401 is 22401.
3. 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.
4. How to Find the LCM of 22401 and 22409?
Answer:
Least Common Multiple of 22401 and 22409 = 501984009
Step 1: Find the prime factorization of 22401
22401 = 3 x 3 x 19 x 131
Step 2: Find the prime factorization of 22409
22409 = 22409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 501984009 = 3 x 3 x 19 x 131 x 22409
Step 4: Therefore, the least common multiple of 22401 and 22409 is 501984009.