Least Common Multiple of 21515 and 21522
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 21515 and 21522 the smallest integer that is 463045830 that is divisible by both numbers.
Least Common Multiple (LCM) of 21515 and 21522 is 463045830.
LCM(21515,21522) = 463045830
LCM of 21515 and 21522
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21515 and 21522 by Prime method
- Least Common Multiple of 21515 and 21522 with GCF Formula
LCM of 21515 and 21522 is 463045830
Least common multiple can be found by multiplying the highest exponent prime factors of 21515 and 21522. First we will calculate the prime factors of 21515 and 21522.
Prime Factorization of 21515
| 5 | 21515 |
| 13 | 4303 |
| 331 | 331 |
| 1 |
Prime factors of 21515 are 5, 13,331. Prime factorization of 21515 in exponential form is:
21515 = 51×131×3311
Prime Factorization of 21522
| 2 | 21522 |
| 3 | 10761 |
| 17 | 3587 |
| 211 | 211 |
| 1 |
Prime factors of 21522 are 2, 3, 17,211. Prime factorization of 21522 in exponential form is:
21522 = 21×31×171×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 21515 and 21522.
LCM(21515,21522) = 21×31×51×131×171×2111×3311
LCM(21515,21522) = 463045830
Factors of 21515
List of positive integer factors of 21515 that divides 21515 without a remainder.
1, 5, 13, 65, 331, 1655, 4303, 21515
Factors of 21522
List of positive integer factors of 21522 that divides 21522 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522
Least Common Multiple of 21515 and 21522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21515 and 21522, than apply into the LCM equation.
GCF(21515,21522) = 1
LCM(21515,21522) = ( 21515 × 21522) / 1
LCM(21515,21522) = 463045830 / 1
LCM(21515,21522) = 463045830
Properties of LCM 21515 and 21522
(i) The LCM of 21522 and 21515 is associative
LCM of 21515 and 21522 = LCM of 21522 and 21515
Related Least Common Multiples of 21515
Related Least Common Multiples of 21522
Frequently Asked Questions on LCM of 21515 and 21522
1. What is the LCM of 21515 and 21522?
Answer: LCM of 21515 and 21522 is 463045830.
2. What are the Factors of 21515?
Answer: Factors of 21515 are 1, 5, 13, 65, 331, 1655, 4303, 21515. There are 8 integers that are factors of 21515. The greatest factor of 21515 is 21515.
3. What are the Factors of 21522?
Answer: Factors of 21522 are 1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522. There are 16 integers that are factors of 21522. The greatest factor of 21522 is 21522.
4. How to Find the LCM of 21515 and 21522?
Answer:
Least Common Multiple of 21515 and 21522 = 463045830
Step 1: Find the prime factorization of 21515
21515 = 5 x 13 x 331
Step 2: Find the prime factorization of 21522
21522 = 2 x 3 x 17 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 463045830 = 2 x 3 x 5 x 13 x 17 x 211 x 331
Step 4: Therefore, the least common multiple of 21515 and 21522 is 463045830.