Least Common Multiple of 874 and 877
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 877 the smallest integer that is 766498 that is divisible by both numbers.
Least Common Multiple (LCM) of 874 and 877 is 766498.
LCM(874,877) = 766498
LCM of 874 and 877
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 874 and 877 by Prime method
- Least Common Multiple of 874 and 877 with GCF Formula
LCM of 874 and 877 is 766498
Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 877. First we will calculate the prime factors of 874 and 877.
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 877
| 877 | 877 |
| 1 |
Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:
877 = 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 877.
LCM(874,877) = 21×191×231×8771
LCM(874,877) = 766498
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 877
List of positive integer factors of 877 that divides 877 without a remainder.
1, 877
Least Common Multiple of 874 and 877 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 877, than apply into the LCM equation.
GCF(874,877) = 1
LCM(874,877) = ( 874 × 877) / 1
LCM(874,877) = 766498 / 1
LCM(874,877) = 766498
Properties of LCM 874 and 877
(i) The LCM of 877 and 874 is associative
LCM of 874 and 877 = LCM of 877 and 874
Related Least Common Multiples of 874
Related Least Common Multiples of 877
Frequently Asked Questions on LCM of 874 and 877
1. What is the LCM of 874 and 877?
Answer: LCM of 874 and 877 is 766498.
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 877?
Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.
4. How to Find the LCM of 874 and 877?
Answer:
Least Common Multiple of 874 and 877 = 766498
Step 1: Find the prime factorization of 874
874 = 2 x 19 x 23
Step 2: Find the prime factorization of 877
877 = 877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 766498 = 2 x 19 x 23 x 877
Step 4: Therefore, the least common multiple of 874 and 877 is 766498.
