Least Common Multiple of 3535 and 3542
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 3542 the smallest integer that is 1788710 that is divisible by both numbers.
Least Common Multiple (LCM) of 3535 and 3542 is 1788710.
LCM(3535,3542) = 1788710
LCM of 3535 and 3542
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3535 and 3542 by Prime method
- Least Common Multiple of 3535 and 3542 with GCF Formula
LCM of 3535 and 3542 is 1788710
Least common multiple can be found by multiplying the highest exponent prime factors of 3535 and 3542. First we will calculate the prime factors of 3535 and 3542.
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 3542
| 2 | 3542 |
| 7 | 1771 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 3542 are 2, 7, 11,23. Prime factorization of 3542 in exponential form is:
3542 = 21×71×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3535 and 3542.
LCM(3535,3542) = 21×51×71×111×231×1011
LCM(3535,3542) = 1788710
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 3542
List of positive integer factors of 3542 that divides 3542 without a remainder.
1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542
Least Common Multiple of 3535 and 3542 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 3542, than apply into the LCM equation.
GCF(3535,3542) = 7
LCM(3535,3542) = ( 3535 × 3542) / 7
LCM(3535,3542) = 12520970 / 7
LCM(3535,3542) = 1788710
Properties of LCM 3535 and 3542
(i) The LCM of 3542 and 3535 is associative
LCM of 3535 and 3542 = LCM of 3542 and 3535
Related Least Common Multiples of 3535
Related Least Common Multiples of 3542
Frequently Asked Questions on LCM of 3535 and 3542
1. What is the LCM of 3535 and 3542?
Answer: LCM of 3535 and 3542 is 1788710.
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 3542?
Answer: Factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. There are 16 integers that are factors of 3542. The greatest factor of 3542 is 3542.
4. How to Find the LCM of 3535 and 3542?
Answer:
Least Common Multiple of 3535 and 3542 = 1788710
Step 1: Find the prime factorization of 3535
3535 = 5 x 7 x 101
Step 2: Find the prime factorization of 3542
3542 = 2 x 7 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1788710 = 2 x 5 x 7 x 11 x 23 x 101
Step 4: Therefore, the least common multiple of 3535 and 3542 is 1788710.