Least Common Multiple of 21515 and 21523
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 21523 the smallest integer that is 463067345 that is divisible by both numbers.
Least Common Multiple (LCM) of 21515 and 21523 is 463067345.
LCM(21515,21523) = 463067345
LCM of 21515 and 21523
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 21515 and 21523 by Prime method
- Least Common Multiple of 21515 and 21523 with GCF Formula
LCM of 21515 and 21523 is 463067345
Least common multiple can be found by multiplying the highest exponent prime factors of 21515 and 21523. First we will calculate the prime factors of 21515 and 21523.
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 21523
| 21523 | 21523 |
| 1 |
Prime factors of 21523 are 21523. Prime factorization of 21523 in exponential form is:
21523 = 215231
Now multiplying the highest exponent prime factors to calculate the LCM of 21515 and 21523.
LCM(21515,21523) = 51×131×3311×215231
LCM(21515,21523) = 463067345
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 21523
List of positive integer factors of 21523 that divides 21523 without a remainder.
1, 21523
Least Common Multiple of 21515 and 21523 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 21523, than apply into the LCM equation.
GCF(21515,21523) = 1
LCM(21515,21523) = ( 21515 × 21523) / 1
LCM(21515,21523) = 463067345 / 1
LCM(21515,21523) = 463067345
Properties of LCM 21515 and 21523
(i) The LCM of 21523 and 21515 is associative
LCM of 21515 and 21523 = LCM of 21523 and 21515
Related Least Common Multiples of 21515
Related Least Common Multiples of 21523
Frequently Asked Questions on LCM of 21515 and 21523
1. What is the LCM of 21515 and 21523?
Answer: LCM of 21515 and 21523 is 463067345.
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 21523?
Answer: Factors of 21523 are 1, 21523. There are 2 integers that are factors of 21523. The greatest factor of 21523 is 21523.
4. How to Find the LCM of 21515 and 21523?
Answer:
Least Common Multiple of 21515 and 21523 = 463067345
Step 1: Find the prime factorization of 21515
21515 = 5 x 13 x 331
Step 2: Find the prime factorization of 21523
21523 = 21523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 463067345 = 5 x 13 x 331 x 21523
Step 4: Therefore, the least common multiple of 21515 and 21523 is 463067345.