Least Common Multiple of 527 and 534
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 534 the smallest integer that is 281418 that is divisible by both numbers.
Least Common Multiple (LCM) of 527 and 534 is 281418.
LCM(527,534) = 281418
LCM of 527 and 534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 527 and 534 by Prime method
- Least Common Multiple of 527 and 534 with GCF Formula
LCM of 527 and 534 is 281418
Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 534. First we will calculate the prime factors of 527 and 534.
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 534
| 2 | 534 |
| 3 | 267 |
| 89 | 89 |
| 1 |
Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:
534 = 21×31×891
Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 534.
LCM(527,534) = 21×31×171×311×891
LCM(527,534) = 281418
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Least Common Multiple of 527 and 534 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 534, than apply into the LCM equation.
GCF(527,534) = 1
LCM(527,534) = ( 527 × 534) / 1
LCM(527,534) = 281418 / 1
LCM(527,534) = 281418
Properties of LCM 527 and 534
(i) The LCM of 534 and 527 is associative
LCM of 527 and 534 = LCM of 534 and 527
Related Least Common Multiples of 527
Related Least Common Multiples of 534
Frequently Asked Questions on LCM of 527 and 534
1. What is the LCM of 527 and 534?
Answer: LCM of 527 and 534 is 281418.
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 534?
Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.
4. How to Find the LCM of 527 and 534?
Answer:
Least Common Multiple of 527 and 534 = 281418
Step 1: Find the prime factorization of 527
527 = 17 x 31
Step 2: Find the prime factorization of 534
534 = 2 x 3 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 281418 = 2 x 3 x 17 x 31 x 89
Step 4: Therefore, the least common multiple of 527 and 534 is 281418.
