Least Common Multiple of 522 and 527
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 522 and 527 the smallest integer that is 275094 that is divisible by both numbers.
Least Common Multiple (LCM) of 522 and 527 is 275094.
LCM(522,527) = 275094
LCM of 522 and 527
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 522 and 527 by Prime method
- Least Common Multiple of 522 and 527 with GCF Formula
LCM of 522 and 527 is 275094
Least common multiple can be found by multiplying the highest exponent prime factors of 522 and 527. First we will calculate the prime factors of 522 and 527.
Prime Factorization of 522
| 2 | 522 |
| 3 | 261 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:
522 = 21×32×291
Prime Factorization of 527
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:
527 = 171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 522 and 527.
LCM(522,527) = 21×32×171×291×311
LCM(522,527) = 275094
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Least Common Multiple of 522 and 527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 522 and 527, than apply into the LCM equation.
GCF(522,527) = 1
LCM(522,527) = ( 522 × 527) / 1
LCM(522,527) = 275094 / 1
LCM(522,527) = 275094
Properties of LCM 522 and 527
(i) The LCM of 527 and 522 is associative
LCM of 522 and 527 = LCM of 527 and 522
Related Least Common Multiples of 522
Related Least Common Multiples of 527
Frequently Asked Questions on LCM of 522 and 527
1. What is the LCM of 522 and 527?
Answer: LCM of 522 and 527 is 275094.
2. What are the Factors of 522?
Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.
3. What are the Factors of 527?
Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.
4. How to Find the LCM of 522 and 527?
Answer:
Least Common Multiple of 522 and 527 = 275094
Step 1: Find the prime factorization of 522
522 = 2 x 3 x 3 x 29
Step 2: Find the prime factorization of 527
527 = 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 275094 = 2 x 3 x 3 x 17 x 29 x 31
Step 4: Therefore, the least common multiple of 522 and 527 is 275094.