Least Common Multiple of 3545 and 3551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3545 and 3551 the smallest integer that is 12588295 that is divisible by both numbers.
Least Common Multiple (LCM) of 3545 and 3551 is 12588295.
LCM(3545,3551) = 12588295
LCM of 3545 and 3551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3545 and 3551 by Prime method
- Least Common Multiple of 3545 and 3551 with GCF Formula
LCM of 3545 and 3551 is 12588295
Least common multiple can be found by multiplying the highest exponent prime factors of 3545 and 3551. First we will calculate the prime factors of 3545 and 3551.
Prime Factorization of 3545
| 5 | 3545 |
| 709 | 709 |
| 1 |
Prime factors of 3545 are 5,709. Prime factorization of 3545 in exponential form is:
3545 = 51×7091
Prime Factorization of 3551
| 53 | 3551 |
| 67 | 67 |
| 1 |
Prime factors of 3551 are 53,67. Prime factorization of 3551 in exponential form is:
3551 = 531×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3545 and 3551.
LCM(3545,3551) = 51×531×671×7091
LCM(3545,3551) = 12588295
Factors of 3545
List of positive integer factors of 3545 that divides 3545 without a remainder.
1, 5, 709, 3545
Factors of 3551
List of positive integer factors of 3551 that divides 3551 without a remainder.
1, 53, 67, 3551
Least Common Multiple of 3545 and 3551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3545 and 3551, than apply into the LCM equation.
GCF(3545,3551) = 1
LCM(3545,3551) = ( 3545 × 3551) / 1
LCM(3545,3551) = 12588295 / 1
LCM(3545,3551) = 12588295
Properties of LCM 3545 and 3551
(i) The LCM of 3551 and 3545 is associative
LCM of 3545 and 3551 = LCM of 3551 and 3545
Related Least Common Multiples of 3545
Related Least Common Multiples of 3551
Frequently Asked Questions on LCM of 3545 and 3551
1. What is the LCM of 3545 and 3551?
Answer: LCM of 3545 and 3551 is 12588295.
2. What are the Factors of 3545?
Answer: Factors of 3545 are 1, 5, 709, 3545. There are 4 integers that are factors of 3545. The greatest factor of 3545 is 3545.
3. What are the Factors of 3551?
Answer: Factors of 3551 are 1, 53, 67, 3551. There are 4 integers that are factors of 3551. The greatest factor of 3551 is 3551.
4. How to Find the LCM of 3545 and 3551?
Answer:
Least Common Multiple of 3545 and 3551 = 12588295
Step 1: Find the prime factorization of 3545
3545 = 5 x 709
Step 2: Find the prime factorization of 3551
3551 = 53 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12588295 = 5 x 53 x 67 x 709
Step 4: Therefore, the least common multiple of 3545 and 3551 is 12588295.