Least Common Multiple of 22423 and 22427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22423 and 22427 the smallest integer that is 502880621 that is divisible by both numbers.
Least Common Multiple (LCM) of 22423 and 22427 is 502880621.
LCM(22423,22427) = 502880621
LCM of 22423 and 22427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 22423 and 22427 by Prime method
- Least Common Multiple of 22423 and 22427 with GCF Formula
LCM of 22423 and 22427 is 502880621
Least common multiple can be found by multiplying the highest exponent prime factors of 22423 and 22427. First we will calculate the prime factors of 22423 and 22427.
Prime Factorization of 22423
| 17 | 22423 |
| 1319 | 1319 |
| 1 |
Prime factors of 22423 are 17,1319. Prime factorization of 22423 in exponential form is:
22423 = 171×13191
Prime Factorization of 22427
| 41 | 22427 |
| 547 | 547 |
| 1 |
Prime factors of 22427 are 41,547. Prime factorization of 22427 in exponential form is:
22427 = 411×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 22423 and 22427.
LCM(22423,22427) = 171×411×5471×13191
LCM(22423,22427) = 502880621
Factors of 22423
List of positive integer factors of 22423 that divides 22423 without a remainder.
1, 17, 1319, 22423
Factors of 22427
List of positive integer factors of 22427 that divides 22427 without a remainder.
1, 41, 547, 22427
Least Common Multiple of 22423 and 22427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22423 and 22427, than apply into the LCM equation.
GCF(22423,22427) = 1
LCM(22423,22427) = ( 22423 × 22427) / 1
LCM(22423,22427) = 502880621 / 1
LCM(22423,22427) = 502880621
Properties of LCM 22423 and 22427
(i) The LCM of 22427 and 22423 is associative
LCM of 22423 and 22427 = LCM of 22427 and 22423
Related Least Common Multiples of 22423
Related Least Common Multiples of 22427
Frequently Asked Questions on LCM of 22423 and 22427
1. What is the LCM of 22423 and 22427?
Answer: LCM of 22423 and 22427 is 502880621.
2. What are the Factors of 22423?
Answer: Factors of 22423 are 1, 17, 1319, 22423. There are 4 integers that are factors of 22423. The greatest factor of 22423 is 22423.
3. What are the Factors of 22427?
Answer: Factors of 22427 are 1, 41, 547, 22427. There are 4 integers that are factors of 22427. The greatest factor of 22427 is 22427.
4. How to Find the LCM of 22423 and 22427?
Answer:
Least Common Multiple of 22423 and 22427 = 502880621
Step 1: Find the prime factorization of 22423
22423 = 17 x 1319
Step 2: Find the prime factorization of 22427
22427 = 41 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 502880621 = 17 x 41 x 547 x 1319
Step 4: Therefore, the least common multiple of 22423 and 22427 is 502880621.