Least Common Multiple of 875 and 883
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 883 the smallest integer that is 772625 that is divisible by both numbers.
Least Common Multiple (LCM) of 875 and 883 is 772625.
LCM(875,883) = 772625
LCM of 875 and 883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 875 and 883 by Prime method
- Least Common Multiple of 875 and 883 with GCF Formula
LCM of 875 and 883 is 772625
Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 883. First we will calculate the prime factors of 875 and 883.
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 883
| 883 | 883 |
| 1 |
Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:
883 = 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 883.
LCM(875,883) = 53×71×8831
LCM(875,883) = 772625
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 883
List of positive integer factors of 883 that divides 883 without a remainder.
1, 883
Least Common Multiple of 875 and 883 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 883, than apply into the LCM equation.
GCF(875,883) = 1
LCM(875,883) = ( 875 × 883) / 1
LCM(875,883) = 772625 / 1
LCM(875,883) = 772625
Properties of LCM 875 and 883
(i) The LCM of 883 and 875 is associative
LCM of 875 and 883 = LCM of 883 and 875
Related Least Common Multiples of 875
Related Least Common Multiples of 883
Frequently Asked Questions on LCM of 875 and 883
1. What is the LCM of 875 and 883?
Answer: LCM of 875 and 883 is 772625.
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 883?
Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.
4. How to Find the LCM of 875 and 883?
Answer:
Least Common Multiple of 875 and 883 = 772625
Step 1: Find the prime factorization of 875
875 = 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 883
883 = 883
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 772625 = 5 x 5 x 5 x 7 x 883
Step 4: Therefore, the least common multiple of 875 and 883 is 772625.