Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 873 and 881 the smallest integer that is 769113 that is divisible by both numbers.
Least Common Multiple (LCM) of 873 and 881 is 769113.
LCM(873,881) = 769113
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 873 and 881. First we will calculate the prime factors of 873 and 881.
Prime Factorization of 873
3 | 873 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 873 are 3,97. Prime factorization of 873 in exponential form is:
873 = 32×971
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 873 and 881.
LCM(873,881) = 32×971×8811
LCM(873,881) = 769113
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1, 881
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 873 and 881, than apply into the LCM equation.
GCF(873,881) = 1
LCM(873,881) = ( 873 × 881) / 1
LCM(873,881) = 769113 / 1
LCM(873,881) = 769113
(i) The LCM of 881 and 873 is associative
LCM of 873 and 881 = LCM of 881 and 873
1. What is the LCM of 873 and 881?
Answer: LCM of 873 and 881 is 769113.
2. What are the Factors of 873?
Answer: Factors of 873 are 1, 3, 9, 97, 291, 873. There are 6 integers that are factors of 873. The greatest factor of 873 is 873.
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 873 and 881?
Answer:
Least Common Multiple of 873 and 881 = 769113
Step 1: Find the prime factorization of 873
873 = 3 x 3 x 97
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 = 769113 = 3 x 3 x 97 x 881
Step 4: Therefore, the least common multiple of 873 and 881 is 769113.