Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 880 and 883 the smallest integer that is 777040 that is divisible by both numbers.
Least Common Multiple (LCM) of 880 and 883 is 777040.
LCM(880,883) = 777040
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 880 and 883. First we will calculate the prime factors of 880 and 883.
Prime Factorization of 880
2 | 880 |
2 | 440 |
2 | 220 |
2 | 110 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 880 are 2, 5,11. Prime factorization of 880 in exponential form is:
880 = 24×51×111
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 880 and 883.
LCM(880,883) = 24×51×111×8831
LCM(880,883) = 777040
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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 880 and 883, than apply into the LCM equation.
GCF(880,883) = 1
LCM(880,883) = ( 880 × 883) / 1
LCM(880,883) = 777040 / 1
LCM(880,883) = 777040
(i) The LCM of 883 and 880 is associative
LCM of 880 and 883 = LCM of 883 and 880
1. What is the LCM of 880 and 883?
Answer: LCM of 880 and 883 is 777040.
2. What are the Factors of 880?
Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.
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 880 and 883?
Answer:
Least Common Multiple of 880 and 883 = 777040
Step 1: Find the prime factorization of 880
880 = 2 x 2 x 2 x 2 x 5 x 11
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 = 777040 = 2 x 2 x 2 x 2 x 5 x 11 x 883
Step 4: Therefore, the least common multiple of 880 and 883 is 777040.