Least Common Multiple of 874 and 881
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 881 the smallest integer that is 769994 that is divisible by both numbers.
Least Common Multiple (LCM) of 874 and 881 is 769994.
LCM(874,881) = 769994
LCM of 874 and 881
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 874 and 881 by Prime method
- Least Common Multiple of 874 and 881 with GCF Formula
LCM of 874 and 881 is 769994
Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 881. First we will calculate the prime factors of 874 and 881.
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 881
| 881 | 881 |
| 1 |
Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:
881 = 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 881.
LCM(874,881) = 21×191×231×8811
LCM(874,881) = 769994
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 881
List of positive integer factors of 881 that divides 881 without a remainder.
1, 881
Least Common Multiple of 874 and 881 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 881, than apply into the LCM equation.
GCF(874,881) = 1
LCM(874,881) = ( 874 × 881) / 1
LCM(874,881) = 769994 / 1
LCM(874,881) = 769994
Properties of LCM 874 and 881
(i) The LCM of 881 and 874 is associative
LCM of 874 and 881 = LCM of 881 and 874
Related Least Common Multiples of 874
Related Least Common Multiples of 881
Frequently Asked Questions on LCM of 874 and 881
1. What is the LCM of 874 and 881?
Answer: LCM of 874 and 881 is 769994.
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 881?
Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.
4. How to Find the LCM of 874 and 881?
Answer:
Least Common Multiple of 874 and 881 = 769994
Step 1: Find the prime factorization of 874
874 = 2 x 19 x 23
Step 2: Find the prime factorization of 881
881 = 881
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 769994 = 2 x 19 x 23 x 881
Step 4: Therefore, the least common multiple of 874 and 881 is 769994.