Least Common Multiple of 527 and 529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 527 and 529 the smallest integer that is 278783 that is divisible by both numbers.
Least Common Multiple (LCM) of 527 and 529 is 278783.
LCM(527,529) = 278783
LCM of 527 and 529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 527 and 529 by Prime method
- Least Common Multiple of 527 and 529 with GCF Formula
LCM of 527 and 529 is 278783
Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 529. First we will calculate the prime factors of 527 and 529.
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
Prime Factorization of 529
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:
529 = 232
Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 529.
LCM(527,529) = 171×232×311
LCM(527,529) = 278783
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1, 23, 529
Least Common Multiple of 527 and 529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 527 and 529, than apply into the LCM equation.
GCF(527,529) = 1
LCM(527,529) = ( 527 × 529) / 1
LCM(527,529) = 278783 / 1
LCM(527,529) = 278783
Properties of LCM 527 and 529
(i) The LCM of 529 and 527 is associative
LCM of 527 and 529 = LCM of 529 and 527
Related Least Common Multiples of 527
Related Least Common Multiples of 529
Frequently Asked Questions on LCM of 527 and 529
1. What is the LCM of 527 and 529?
Answer: LCM of 527 and 529 is 278783.
2. 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.
3. What are the Factors of 529?
Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.
4. How to Find the LCM of 527 and 529?
Answer:
Least Common Multiple of 527 and 529 = 278783
Step 1: Find the prime factorization of 527
527 = 17 x 31
Step 2: Find the prime factorization of 529
529 = 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 278783 = 17 x 23 x 23 x 31
Step 4: Therefore, the least common multiple of 527 and 529 is 278783.