Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 883 and 885 the smallest integer that is 781455 that is divisible by both numbers.
Least Common Multiple (LCM) of 883 and 885 is 781455.
LCM(883,885) = 781455
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 883 and 885. First we will calculate the prime factors of 883 and 885.
Prime Factorization of 883
883 | 883 |
1 |
Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:
883 = 8831
Prime Factorization of 885
3 | 885 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:
885 = 31×51×591
Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 885.
LCM(883,885) = 31×51×591×8831
LCM(883,885) = 781455
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1, 883
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 883 and 885, than apply into the LCM equation.
GCF(883,885) = 1
LCM(883,885) = ( 883 × 885) / 1
LCM(883,885) = 781455 / 1
LCM(883,885) = 781455
(i) The LCM of 885 and 883 is associative
LCM of 883 and 885 = LCM of 885 and 883
1. What is the LCM of 883 and 885?
Answer: LCM of 883 and 885 is 781455.
2. 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.
3. What are the Factors of 885?
Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.
4. How to Find the LCM of 883 and 885?
Answer:
Least Common Multiple of 883 and 885 = 781455
Step 1: Find the prime factorization of 883
883 = 883
Step 2: Find the prime factorization of 885
885 = 3 x 5 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 781455 = 3 x 5 x 59 x 883
Step 4: Therefore, the least common multiple of 883 and 885 is 781455.