Least Common Multiple of 3535 and 3543
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3535 and 3543 the smallest integer that is 12524505 that is divisible by both numbers.
Least Common Multiple (LCM) of 3535 and 3543 is 12524505.
LCM(3535,3543) = 12524505
LCM of 3535 and 3543
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3535 and 3543 by Prime method
- Least Common Multiple of 3535 and 3543 with GCF Formula
LCM of 3535 and 3543 is 12524505
Least common multiple can be found by multiplying the highest exponent prime factors of 3535 and 3543. First we will calculate the prime factors of 3535 and 3543.
Prime Factorization of 3535
| 5 | 3535 |
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 3535 are 5, 7,101. Prime factorization of 3535 in exponential form is:
3535 = 51×71×1011
Prime Factorization of 3543
| 3 | 3543 |
| 1181 | 1181 |
| 1 |
Prime factors of 3543 are 3,1181. Prime factorization of 3543 in exponential form is:
3543 = 31×11811
Now multiplying the highest exponent prime factors to calculate the LCM of 3535 and 3543.
LCM(3535,3543) = 31×51×71×1011×11811
LCM(3535,3543) = 12524505
Factors of 3535
List of positive integer factors of 3535 that divides 3535 without a remainder.
1, 5, 7, 35, 101, 505, 707, 3535
Factors of 3543
List of positive integer factors of 3543 that divides 3543 without a remainder.
1, 3, 1181, 3543
Least Common Multiple of 3535 and 3543 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3535 and 3543, than apply into the LCM equation.
GCF(3535,3543) = 1
LCM(3535,3543) = ( 3535 × 3543) / 1
LCM(3535,3543) = 12524505 / 1
LCM(3535,3543) = 12524505
Properties of LCM 3535 and 3543
(i) The LCM of 3543 and 3535 is associative
LCM of 3535 and 3543 = LCM of 3543 and 3535
Related Least Common Multiples of 3535
Related Least Common Multiples of 3543
Frequently Asked Questions on LCM of 3535 and 3543
1. What is the LCM of 3535 and 3543?
Answer: LCM of 3535 and 3543 is 12524505.
2. What are the Factors of 3535?
Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.
3. What are the Factors of 3543?
Answer: Factors of 3543 are 1, 3, 1181, 3543. There are 4 integers that are factors of 3543. The greatest factor of 3543 is 3543.
4. How to Find the LCM of 3535 and 3543?
Answer:
Least Common Multiple of 3535 and 3543 = 12524505
Step 1: Find the prime factorization of 3535
3535 = 5 x 7 x 101
Step 2: Find the prime factorization of 3543
3543 = 3 x 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12524505 = 3 x 5 x 7 x 101 x 1181
Step 4: Therefore, the least common multiple of 3535 and 3543 is 12524505.