Least Common Multiple of 3529 and 3534
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3529 and 3534 the smallest integer that is 12471486 that is divisible by both numbers.
Least Common Multiple (LCM) of 3529 and 3534 is 12471486.
LCM(3529,3534) = 12471486
LCM of 3529 and 3534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3529 and 3534 by Prime method
- Least Common Multiple of 3529 and 3534 with GCF Formula
LCM of 3529 and 3534 is 12471486
Least common multiple can be found by multiplying the highest exponent prime factors of 3529 and 3534. First we will calculate the prime factors of 3529 and 3534.
Prime Factorization of 3529
| 3529 | 3529 |
| 1 |
Prime factors of 3529 are 3529. Prime factorization of 3529 in exponential form is:
3529 = 35291
Prime Factorization of 3534
| 2 | 3534 |
| 3 | 1767 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 3534 are 2, 3, 19,31. Prime factorization of 3534 in exponential form is:
3534 = 21×31×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3529 and 3534.
LCM(3529,3534) = 21×31×191×311×35291
LCM(3529,3534) = 12471486
Factors of 3529
List of positive integer factors of 3529 that divides 3529 without a remainder.
1, 3529
Factors of 3534
List of positive integer factors of 3534 that divides 3534 without a remainder.
1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534
Least Common Multiple of 3529 and 3534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3529 and 3534, than apply into the LCM equation.
GCF(3529,3534) = 1
LCM(3529,3534) = ( 3529 × 3534) / 1
LCM(3529,3534) = 12471486 / 1
LCM(3529,3534) = 12471486
Properties of LCM 3529 and 3534
(i) The LCM of 3534 and 3529 is associative
LCM of 3529 and 3534 = LCM of 3534 and 3529
Related Least Common Multiples of 3529
Related Least Common Multiples of 3534
Frequently Asked Questions on LCM of 3529 and 3534
1. What is the LCM of 3529 and 3534?
Answer: LCM of 3529 and 3534 is 12471486.
2. What are the Factors of 3529?
Answer: Factors of 3529 are 1, 3529. There are 2 integers that are factors of 3529. The greatest factor of 3529 is 3529.
3. What are the Factors of 3534?
Answer: Factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534. There are 16 integers that are factors of 3534. The greatest factor of 3534 is 3534.
4. How to Find the LCM of 3529 and 3534?
Answer:
Least Common Multiple of 3529 and 3534 = 12471486
Step 1: Find the prime factorization of 3529
3529 = 3529
Step 2: Find the prime factorization of 3534
3534 = 2 x 3 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12471486 = 2 x 3 x 19 x 31 x 3529
Step 4: Therefore, the least common multiple of 3529 and 3534 is 12471486.