Least Common Multiple of 874 and 875
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 874 and 875 the smallest integer that is 764750 that is divisible by both numbers.
Least Common Multiple (LCM) of 874 and 875 is 764750.
LCM(874,875) = 764750
LCM of 874 and 875
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 874 and 875 by Prime method
- Least Common Multiple of 874 and 875 with GCF Formula
LCM of 874 and 875 is 764750
Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 875. First we will calculate the prime factors of 874 and 875.
Prime Factorization of 874
| 2 | 874 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:
874 = 21×191×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 875.
LCM(874,875) = 21×53×71×191×231
LCM(874,875) = 764750
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Least Common Multiple of 874 and 875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 874 and 875, than apply into the LCM equation.
GCF(874,875) = 1
LCM(874,875) = ( 874 × 875) / 1
LCM(874,875) = 764750 / 1
LCM(874,875) = 764750
Properties of LCM 874 and 875
(i) The LCM of 875 and 874 is associative
LCM of 874 and 875 = LCM of 875 and 874
Related Least Common Multiples of 874
Related Least Common Multiples of 875
Frequently Asked Questions on LCM of 874 and 875
1. What is the LCM of 874 and 875?
Answer: LCM of 874 and 875 is 764750.
2. What are the Factors of 874?
Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.
3. 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.
4. How to Find the LCM of 874 and 875?
Answer:
Least Common Multiple of 874 and 875 = 764750
Step 1: Find the prime factorization of 874
874 = 2 x 19 x 23
Step 2: Find the prime factorization of 875
875 = 5 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 764750 = 2 x 5 x 5 x 5 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 874 and 875 is 764750.