Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 887 and 888 the smallest integer that is 787656 that is divisible by both numbers.
Least Common Multiple (LCM) of 887 and 888 is 787656.
LCM(887,888) = 787656
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 887 and 888. First we will calculate the prime factors of 887 and 888.
Prime Factorization of 887
887 | 887 |
1 |
Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:
887 = 8871
Prime Factorization of 888
2 | 888 |
2 | 444 |
2 | 222 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:
888 = 23×31×371
Now multiplying the highest exponent prime factors to calculate the LCM of 887 and 888.
LCM(887,888) = 23×31×371×8871
LCM(887,888) = 787656
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1, 887
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 887 and 888, than apply into the LCM equation.
GCF(887,888) = 1
LCM(887,888) = ( 887 × 888) / 1
LCM(887,888) = 787656 / 1
LCM(887,888) = 787656
(i) The LCM of 888 and 887 is associative
LCM of 887 and 888 = LCM of 888 and 887
1. What is the LCM of 887 and 888?
Answer: LCM of 887 and 888 is 787656.
2. What are the Factors of 887?
Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.
3. What are the Factors of 888?
Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.
4. How to Find the LCM of 887 and 888?
Answer:
Least Common Multiple of 887 and 888 = 787656
Step 1: Find the prime factorization of 887
887 = 887
Step 2: Find the prime factorization of 888
888 = 2 x 2 x 2 x 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 787656 = 2 x 2 x 2 x 3 x 37 x 887
Step 4: Therefore, the least common multiple of 887 and 888 is 787656.