Least Common Multiple of 1631 and 1635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1631 and 1635 the smallest integer that is 2666685 that is divisible by both numbers.
Least Common Multiple (LCM) of 1631 and 1635 is 2666685.
LCM(1631,1635) = 2666685
LCM of 1631 and 1635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1631 and 1635 by Prime method
- Least Common Multiple of 1631 and 1635 with GCF Formula
LCM of 1631 and 1635 is 2666685
Least common multiple can be found by multiplying the highest exponent prime factors of 1631 and 1635. First we will calculate the prime factors of 1631 and 1635.
Prime Factorization of 1631
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 1631 are 7,233. Prime factorization of 1631 in exponential form is:
1631 = 71×2331
Prime Factorization of 1635
| 3 | 1635 |
| 5 | 545 |
| 109 | 109 |
| 1 |
Prime factors of 1635 are 3, 5,109. Prime factorization of 1635 in exponential form is:
1635 = 31×51×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1631 and 1635.
LCM(1631,1635) = 31×51×71×1091×2331
LCM(1631,1635) = 2666685
Factors of 1631
List of positive integer factors of 1631 that divides 1631 without a remainder.
1, 7, 233, 1631
Factors of 1635
List of positive integer factors of 1635 that divides 1635 without a remainder.
1, 3, 5, 15, 109, 327, 545, 1635
Least Common Multiple of 1631 and 1635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1631 and 1635, than apply into the LCM equation.
GCF(1631,1635) = 1
LCM(1631,1635) = ( 1631 × 1635) / 1
LCM(1631,1635) = 2666685 / 1
LCM(1631,1635) = 2666685
Properties of LCM 1631 and 1635
(i) The LCM of 1635 and 1631 is associative
LCM of 1631 and 1635 = LCM of 1635 and 1631
Related Least Common Multiples of 1631
Related Least Common Multiples of 1635
Frequently Asked Questions on LCM of 1631 and 1635
1. What is the LCM of 1631 and 1635?
Answer: LCM of 1631 and 1635 is 2666685.
2. What are the Factors of 1631?
Answer: Factors of 1631 are 1, 7, 233, 1631. There are 4 integers that are factors of 1631. The greatest factor of 1631 is 1631.
3. What are the Factors of 1635?
Answer: Factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635. There are 8 integers that are factors of 1635. The greatest factor of 1635 is 1635.
4. How to Find the LCM of 1631 and 1635?
Answer:
Least Common Multiple of 1631 and 1635 = 2666685
Step 1: Find the prime factorization of 1631
1631 = 7 x 233
Step 2: Find the prime factorization of 1635
1635 = 3 x 5 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2666685 = 3 x 5 x 7 x 109 x 233
Step 4: Therefore, the least common multiple of 1631 and 1635 is 2666685.