Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 537 and 539 the smallest integer that is 289443 that is divisible by both numbers.
Least Common Multiple (LCM) of 537 and 539 is 289443.
LCM(537,539) = 289443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 539. First we will calculate the prime factors of 537 and 539.
Prime Factorization of 537
3 | 537 |
179 | 179 |
1 |
Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:
537 = 31×1791
Prime Factorization of 539
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:
539 = 72×111
Now multiplying the highest exponent prime factors to calculate the LCM of 537 and 539.
LCM(537,539) = 31×72×111×1791
LCM(537,539) = 289443
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 537 and 539, than apply into the LCM equation.
GCF(537,539) = 1
LCM(537,539) = ( 537 × 539) / 1
LCM(537,539) = 289443 / 1
LCM(537,539) = 289443
(i) The LCM of 539 and 537 is associative
LCM of 537 and 539 = LCM of 539 and 537
1. What is the LCM of 537 and 539?
Answer: LCM of 537 and 539 is 289443.
2. What are the Factors of 537?
Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.
3. What are the Factors of 539?
Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.
4. How to Find the LCM of 537 and 539?
Answer:
Least Common Multiple of 537 and 539 = 289443
Step 1: Find the prime factorization of 537
537 = 3 x 179
Step 2: Find the prime factorization of 539
539 = 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 289443 = 3 x 7 x 7 x 11 x 179
Step 4: Therefore, the least common multiple of 537 and 539 is 289443.