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 542 the smallest integer that is 292138 that is divisible by both numbers.
Least Common Multiple (LCM) of 539 and 542 is 292138.
LCM(539,542) = 292138
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 542. First we will calculate the prime factors of 539 and 542.
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 542
2 | 542 |
271 | 271 |
1 |
Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:
542 = 21×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 539 and 542.
LCM(539,542) = 21×72×111×2711
LCM(539,542) = 292138
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1, 2, 271, 542
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 539 and 542, than apply into the LCM equation.
GCF(539,542) = 1
LCM(539,542) = ( 539 × 542) / 1
LCM(539,542) = 292138 / 1
LCM(539,542) = 292138
(i) The LCM of 542 and 539 is associative
LCM of 539 and 542 = LCM of 542 and 539
1. What is the LCM of 539 and 542?
Answer: LCM of 539 and 542 is 292138.
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 542?
Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.
4. How to Find the LCM of 539 and 542?
Answer:
Least Common Multiple of 539 and 542 = 292138
Step 1: Find the prime factorization of 539
539 = 7 x 7 x 11
Step 2: Find the prime factorization of 542
542 = 2 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 292138 = 2 x 7 x 7 x 11 x 271
Step 4: Therefore, the least common multiple of 539 and 542 is 292138.