Least Common Multiple of 675 and 681
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 675 and 681 the smallest integer that is 153225 that is divisible by both numbers.
Least Common Multiple (LCM) of 675 and 681 is 153225.
LCM(675,681) = 153225
LCM of 675 and 681
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 675 and 681 by Prime method
- Least Common Multiple of 675 and 681 with GCF Formula
LCM of 675 and 681 is 153225
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 681. First we will calculate the prime factors of 675 and 681.
Prime Factorization of 675
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:
675 = 33×52
Prime Factorization of 681
| 3 | 681 |
| 227 | 227 |
| 1 |
Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:
681 = 31×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 681.
LCM(675,681) = 33×52×2271
LCM(675,681) = 153225
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Least Common Multiple of 675 and 681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 675 and 681, than apply into the LCM equation.
GCF(675,681) = 3
LCM(675,681) = ( 675 × 681) / 3
LCM(675,681) = 459675 / 3
LCM(675,681) = 153225
Properties of LCM 675 and 681
(i) The LCM of 681 and 675 is associative
LCM of 675 and 681 = LCM of 681 and 675
Related Least Common Multiples of 675
Related Least Common Multiples of 681
Frequently Asked Questions on LCM of 675 and 681
1. What is the LCM of 675 and 681?
Answer: LCM of 675 and 681 is 153225.
2. What are the Factors of 675?
Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.
3. What are the Factors of 681?
Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.
4. How to Find the LCM of 675 and 681?
Answer:
Least Common Multiple of 675 and 681 = 153225
Step 1: Find the prime factorization of 675
675 = 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 681
681 = 3 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 153225 = 3 x 3 x 3 x 5 x 5 x 227
Step 4: Therefore, the least common multiple of 675 and 681 is 153225.