Least Common Multiple of 525 and 526
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 526 the smallest integer that is 276150 that is divisible by both numbers.
Least Common Multiple (LCM) of 525 and 526 is 276150.
LCM(525,526) = 276150
LCM of 525 and 526
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 525 and 526 by Prime method
- Least Common Multiple of 525 and 526 with GCF Formula
LCM of 525 and 526 is 276150
Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 526. First we will calculate the prime factors of 525 and 526.
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 526
| 2 | 526 |
| 263 | 263 |
| 1 |
Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:
526 = 21×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 525 and 526.
LCM(525,526) = 21×31×52×71×2631
LCM(525,526) = 276150
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 526
List of positive integer factors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Least Common Multiple of 525 and 526 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 526, than apply into the LCM equation.
GCF(525,526) = 1
LCM(525,526) = ( 525 × 526) / 1
LCM(525,526) = 276150 / 1
LCM(525,526) = 276150
Properties of LCM 525 and 526
(i) The LCM of 526 and 525 is associative
LCM of 525 and 526 = LCM of 526 and 525
Related Least Common Multiples of 525
Related Least Common Multiples of 526
Frequently Asked Questions on LCM of 525 and 526
1. What is the LCM of 525 and 526?
Answer: LCM of 525 and 526 is 276150.
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 526?
Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.
4. How to Find the LCM of 525 and 526?
Answer:
Least Common Multiple of 525 and 526 = 276150
Step 1: Find the prime factorization of 525
525 = 3 x 5 x 5 x 7
Step 2: Find the prime factorization of 526
526 = 2 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 276150 = 2 x 3 x 5 x 5 x 7 x 263
Step 4: Therefore, the least common multiple of 525 and 526 is 276150.
