Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3537 and 3539 the smallest integer that is 12517443 that is divisible by both numbers.
Least Common Multiple (LCM) of 3537 and 3539 is 12517443.
LCM(3537,3539) = 12517443
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 3537 and 3539. First we will calculate the prime factors of 3537 and 3539.
Prime Factorization of 3537
3 | 3537 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:
3537 = 33×1311
Prime Factorization of 3539
3539 | 3539 |
1 |
Prime factors of 3539 are 3539. Prime factorization of 3539 in exponential form is:
3539 = 35391
Now multiplying the highest exponent prime factors to calculate the LCM of 3537 and 3539.
LCM(3537,3539) = 33×1311×35391
LCM(3537,3539) = 12517443
Factors of 3537
List of positive integer factors of 3537 that divides 3537 without a remainder.
1, 3, 9, 27, 131, 393, 1179, 3537
Factors of 3539
List of positive integer factors of 3539 that divides 3539 without a remainder.
1, 3539
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3537 and 3539, than apply into the LCM equation.
GCF(3537,3539) = 1
LCM(3537,3539) = ( 3537 × 3539) / 1
LCM(3537,3539) = 12517443 / 1
LCM(3537,3539) = 12517443
(i) The LCM of 3539 and 3537 is associative
LCM of 3537 and 3539 = LCM of 3539 and 3537
1. What is the LCM of 3537 and 3539?
Answer: LCM of 3537 and 3539 is 12517443.
2. What are the Factors of 3537?
Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.
3. What are the Factors of 3539?
Answer: Factors of 3539 are 1, 3539. There are 2 integers that are factors of 3539. The greatest factor of 3539 is 3539.
4. How to Find the LCM of 3537 and 3539?
Answer:
Least Common Multiple of 3537 and 3539 = 12517443
Step 1: Find the prime factorization of 3537
3537 = 3 x 3 x 3 x 131
Step 2: Find the prime factorization of 3539
3539 = 3539
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12517443 = 3 x 3 x 3 x 131 x 3539
Step 4: Therefore, the least common multiple of 3537 and 3539 is 12517443.