Least Common Multiple of 875 and 879
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 875 and 879 the smallest integer that is 769125 that is divisible by both numbers.
Least Common Multiple (LCM) of 875 and 879 is 769125.
LCM(875,879) = 769125
LCM of 875 and 879
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 875 and 879 by Prime method
- Least Common Multiple of 875 and 879 with GCF Formula
LCM of 875 and 879 is 769125
Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 879. First we will calculate the prime factors of 875 and 879.
Prime Factorization of 875
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:
875 = 53×71
Prime Factorization of 879
| 3 | 879 |
| 293 | 293 |
| 1 |
Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:
879 = 31×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 879.
LCM(875,879) = 31×53×71×2931
LCM(875,879) = 769125
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Least Common Multiple of 875 and 879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 875 and 879, than apply into the LCM equation.
GCF(875,879) = 1
LCM(875,879) = ( 875 × 879) / 1
LCM(875,879) = 769125 / 1
LCM(875,879) = 769125
Properties of LCM 875 and 879
(i) The LCM of 879 and 875 is associative
LCM of 875 and 879 = LCM of 879 and 875
Related Least Common Multiples of 875
Related Least Common Multiples of 879
Frequently Asked Questions on LCM of 875 and 879
1. What is the LCM of 875 and 879?
Answer: LCM of 875 and 879 is 769125.
2. What are the Factors of 875?
Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.
3. What are the Factors of 879?
Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.
4. How to Find the LCM of 875 and 879?
Answer:
Least Common Multiple of 875 and 879 = 769125
Step 1: Find the prime factorization of 875
875 = 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 879
879 = 3 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 769125 = 3 x 5 x 5 x 5 x 7 x 293
Step 4: Therefore, the least common multiple of 875 and 879 is 769125.
