Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 988 and 989 the smallest integer that is 977132 that is divisible by both numbers.
Least Common Multiple (LCM) of 988 and 989 is 977132.
LCM(988,989) = 977132
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 988 and 989. First we will calculate the prime factors of 988 and 989.
Prime Factorization of 988
2 | 988 |
2 | 494 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:
988 = 22×131×191
Prime Factorization of 989
23 | 989 |
43 | 43 |
1 |
Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:
989 = 231×431
Now multiplying the highest exponent prime factors to calculate the LCM of 988 and 989.
LCM(988,989) = 22×131×191×231×431
LCM(988,989) = 977132
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 988 and 989, than apply into the LCM equation.
GCF(988,989) = 1
LCM(988,989) = ( 988 × 989) / 1
LCM(988,989) = 977132 / 1
LCM(988,989) = 977132
(i) The LCM of 989 and 988 is associative
LCM of 988 and 989 = LCM of 989 and 988
1. What is the LCM of 988 and 989?
Answer: LCM of 988 and 989 is 977132.
2. What are the Factors of 988?
Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.
3. What are the Factors of 989?
Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.
4. How to Find the LCM of 988 and 989?
Answer:
Least Common Multiple of 988 and 989 = 977132
Step 1: Find the prime factorization of 988
988 = 2 x 2 x 13 x 19
Step 2: Find the prime factorization of 989
989 = 23 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 977132 = 2 x 2 x 13 x 19 x 23 x 43
Step 4: Therefore, the least common multiple of 988 and 989 is 977132.