Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4539 and 4542 the smallest integer that is 6872046 that is divisible by both numbers.
Least Common Multiple (LCM) of 4539 and 4542 is 6872046.
LCM(4539,4542) = 6872046
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 4539 and 4542. First we will calculate the prime factors of 4539 and 4542.
Prime Factorization of 4539
3 | 4539 |
17 | 1513 |
89 | 89 |
1 |
Prime factors of 4539 are 3, 17,89. Prime factorization of 4539 in exponential form is:
4539 = 31×171×891
Prime Factorization of 4542
2 | 4542 |
3 | 2271 |
757 | 757 |
1 |
Prime factors of 4542 are 2, 3,757. Prime factorization of 4542 in exponential form is:
4542 = 21×31×7571
Now multiplying the highest exponent prime factors to calculate the LCM of 4539 and 4542.
LCM(4539,4542) = 21×31×171×891×7571
LCM(4539,4542) = 6872046
Factors of 4539
List of positive integer factors of 4539 that divides 4539 without a remainder.
1, 3, 17, 51, 89, 267, 1513, 4539
Factors of 4542
List of positive integer factors of 4542 that divides 4542 without a remainder.
1, 2, 3, 6, 757, 1514, 2271, 4542
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4539 and 4542, than apply into the LCM equation.
GCF(4539,4542) = 3
LCM(4539,4542) = ( 4539 × 4542) / 3
LCM(4539,4542) = 20616138 / 3
LCM(4539,4542) = 6872046
(i) The LCM of 4542 and 4539 is associative
LCM of 4539 and 4542 = LCM of 4542 and 4539
1. What is the LCM of 4539 and 4542?
Answer: LCM of 4539 and 4542 is 6872046.
2. What are the Factors of 4539?
Answer: Factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539. There are 8 integers that are factors of 4539. The greatest factor of 4539 is 4539.
3. What are the Factors of 4542?
Answer: Factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542. There are 8 integers that are factors of 4542. The greatest factor of 4542 is 4542.
4. How to Find the LCM of 4539 and 4542?
Answer:
Least Common Multiple of 4539 and 4542 = 6872046
Step 1: Find the prime factorization of 4539
4539 = 3 x 17 x 89
Step 2: Find the prime factorization of 4542
4542 = 2 x 3 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6872046 = 2 x 3 x 17 x 89 x 757
Step 4: Therefore, the least common multiple of 4539 and 4542 is 6872046.