Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 881 and 883 the smallest integer that is 777923 that is divisible by both numbers.
Least Common Multiple (LCM) of 881 and 883 is 777923.
LCM(881,883) = 777923
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 881 and 883. First we will calculate the prime factors of 881 and 883.
Prime Factorization of 881
881 | 881 |
1 |
Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:
881 = 8811
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 881 and 883.
LCM(881,883) = 8811×8831
LCM(881,883) = 777923
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1, 881
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1, 883
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 881 and 883, than apply into the LCM equation.
GCF(881,883) = 1
LCM(881,883) = ( 881 × 883) / 1
LCM(881,883) = 777923 / 1
LCM(881,883) = 777923
(i) The LCM of 883 and 881 is associative
LCM of 881 and 883 = LCM of 883 and 881
1. What is the LCM of 881 and 883?
Answer: LCM of 881 and 883 is 777923.
2. 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.
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 881 and 883?
Answer:
Least Common Multiple of 881 and 883 = 777923
Step 1: Find the prime factorization of 881
881 = 881
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 = 777923 = 881 x 883
Step 4: Therefore, the least common multiple of 881 and 883 is 777923.