Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 539 and 547 the smallest integer that is 294833 that is divisible by both numbers.
Least Common Multiple (LCM) of 539 and 547 is 294833.
LCM(539,547) = 294833
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 539 and 547. First we will calculate the prime factors of 539 and 547.
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
Prime Factorization of 547
547 | 547 |
1 |
Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:
547 = 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 539 and 547.
LCM(539,547) = 72×111×5471
LCM(539,547) = 294833
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1, 547
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 539 and 547, than apply into the LCM equation.
GCF(539,547) = 1
LCM(539,547) = ( 539 × 547) / 1
LCM(539,547) = 294833 / 1
LCM(539,547) = 294833
(i) The LCM of 547 and 539 is associative
LCM of 539 and 547 = LCM of 547 and 539
1. What is the LCM of 539 and 547?
Answer: LCM of 539 and 547 is 294833.
2. 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.
3. What are the Factors of 547?
Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.
4. How to Find the LCM of 539 and 547?
Answer:
Least Common Multiple of 539 and 547 = 294833
Step 1: Find the prime factorization of 539
539 = 7 x 7 x 11
Step 2: Find the prime factorization of 547
547 = 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 294833 = 7 x 7 x 11 x 547
Step 4: Therefore, the least common multiple of 539 and 547 is 294833.