Least Common Multiple of 3527 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 3527 and 3534 the smallest integer that is 12464418 that is divisible by both numbers.
Least Common Multiple (LCM) of 3527 and 3534 is 12464418.
LCM(3527,3534) = 12464418
LCM of 3527 and 3534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3527 and 3534 by Prime method
- Least Common Multiple of 3527 and 3534 with GCF Formula
LCM of 3527 and 3534 is 12464418
Least common multiple can be found by multiplying the highest exponent prime factors of 3527 and 3534. First we will calculate the prime factors of 3527 and 3534.
Prime Factorization of 3527
| 3527 | 3527 |
| 1 |
Prime factors of 3527 are 3527. Prime factorization of 3527 in exponential form is:
3527 = 35271
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 3527 and 3534.
LCM(3527,3534) = 21×31×191×311×35271
LCM(3527,3534) = 12464418
Factors of 3527
List of positive integer factors of 3527 that divides 3527 without a remainder.
1, 3527
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 3527 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 3527 and 3534, than apply into the LCM equation.
GCF(3527,3534) = 1
LCM(3527,3534) = ( 3527 × 3534) / 1
LCM(3527,3534) = 12464418 / 1
LCM(3527,3534) = 12464418
Properties of LCM 3527 and 3534
(i) The LCM of 3534 and 3527 is associative
LCM of 3527 and 3534 = LCM of 3534 and 3527
Related Least Common Multiples of 3527
Related Least Common Multiples of 3534
Frequently Asked Questions on LCM of 3527 and 3534
1. What is the LCM of 3527 and 3534?
Answer: LCM of 3527 and 3534 is 12464418.
2. What are the Factors of 3527?
Answer: Factors of 3527 are 1, 3527. There are 2 integers that are factors of 3527. The greatest factor of 3527 is 3527.
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 3527 and 3534?
Answer:
Least Common Multiple of 3527 and 3534 = 12464418
Step 1: Find the prime factorization of 3527
3527 = 3527
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 = 12464418 = 2 x 3 x 19 x 31 x 3527
Step 4: Therefore, the least common multiple of 3527 and 3534 is 12464418.