Least Common Multiple of 526 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 526 and 527 the smallest integer that is 277202 that is divisible by both numbers.
Least Common Multiple (LCM) of 526 and 527 is 277202.
LCM(526,527) = 277202
LCM of 526 and 527
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 526 and 527 by Prime method
- Least Common Multiple of 526 and 527 with GCF Formula
LCM of 526 and 527 is 277202
Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 527. First we will calculate the prime factors of 526 and 527.
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
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 526 and 527.
LCM(526,527) = 21×171×311×2631
LCM(526,527) = 277202
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Least Common Multiple of 526 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 526 and 527, than apply into the LCM equation.
GCF(526,527) = 1
LCM(526,527) = ( 526 × 527) / 1
LCM(526,527) = 277202 / 1
LCM(526,527) = 277202
Properties of LCM 526 and 527
(i) The LCM of 527 and 526 is associative
LCM of 526 and 527 = LCM of 527 and 526
Related Least Common Multiples of 526
Related Least Common Multiples of 527
Frequently Asked Questions on LCM of 526 and 527
1. What is the LCM of 526 and 527?
Answer: LCM of 526 and 527 is 277202.
2. 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.
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 526 and 527?
Answer:
Least Common Multiple of 526 and 527 = 277202
Step 1: Find the prime factorization of 526
526 = 2 x 263
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 = 277202 = 2 x 17 x 31 x 263
Step 4: Therefore, the least common multiple of 526 and 527 is 277202.
