Least Common Multiple of 675 and 679
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 679 the smallest integer that is 458325 that is divisible by both numbers.
Least Common Multiple (LCM) of 675 and 679 is 458325.
LCM(675,679) = 458325
LCM of 675 and 679
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 675 and 679 by Prime method
- Least Common Multiple of 675 and 679 with GCF Formula
LCM of 675 and 679 is 458325
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 679. First we will calculate the prime factors of 675 and 679.
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 679
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:
679 = 71×971
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 679.
LCM(675,679) = 33×52×71×971
LCM(675,679) = 458325
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 679
List of positive integer factors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Least Common Multiple of 675 and 679 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 679, than apply into the LCM equation.
GCF(675,679) = 1
LCM(675,679) = ( 675 × 679) / 1
LCM(675,679) = 458325 / 1
LCM(675,679) = 458325
Properties of LCM 675 and 679
(i) The LCM of 679 and 675 is associative
LCM of 675 and 679 = LCM of 679 and 675
Related Least Common Multiples of 675
Related Least Common Multiples of 679
Frequently Asked Questions on LCM of 675 and 679
1. What is the LCM of 675 and 679?
Answer: LCM of 675 and 679 is 458325.
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 679?
Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.
4. How to Find the LCM of 675 and 679?
Answer:
Least Common Multiple of 675 and 679 = 458325
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 679
679 = 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 458325 = 3 x 3 x 3 x 5 x 5 x 7 x 97
Step 4: Therefore, the least common multiple of 675 and 679 is 458325.
