Least Common Multiple of 525 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 525 and 529 the smallest integer that is 277725 that is divisible by both numbers.
Least Common Multiple (LCM) of 525 and 529 is 277725.
LCM(525,529) = 277725
LCM of 525 and 529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 525 and 529 by Prime method
- Least Common Multiple of 525 and 529 with GCF Formula
LCM of 525 and 529 is 277725
Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 529. First we will calculate the prime factors of 525 and 529.
Prime Factorization of 525
| 3 | 525 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:
525 = 31×52×71
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 525 and 529.
LCM(525,529) = 31×52×71×232
LCM(525,529) = 277725
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1, 23, 529
Least Common Multiple of 525 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 525 and 529, than apply into the LCM equation.
GCF(525,529) = 1
LCM(525,529) = ( 525 × 529) / 1
LCM(525,529) = 277725 / 1
LCM(525,529) = 277725
Properties of LCM 525 and 529
(i) The LCM of 529 and 525 is associative
LCM of 525 and 529 = LCM of 529 and 525
Related Least Common Multiples of 525
Related Least Common Multiples of 529
Frequently Asked Questions on LCM of 525 and 529
1. What is the LCM of 525 and 529?
Answer: LCM of 525 and 529 is 277725.
2. What are the Factors of 525?
Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.
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 525 and 529?
Answer:
Least Common Multiple of 525 and 529 = 277725
Step 1: Find the prime factorization of 525
525 = 3 x 5 x 5 x 7
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 = 277725 = 3 x 5 x 5 x 7 x 23 x 23
Step 4: Therefore, the least common multiple of 525 and 529 is 277725.
