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 995 the smallest integer that is 983060 that is divisible by both numbers.
Least Common Multiple (LCM) of 988 and 995 is 983060.
LCM(988,995) = 983060
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 995. First we will calculate the prime factors of 988 and 995.
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 995
5 | 995 |
199 | 199 |
1 |
Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:
995 = 51×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 988 and 995.
LCM(988,995) = 22×51×131×191×1991
LCM(988,995) = 983060
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 995
List of positive integer factors of 995 that divides 995 without a remainder.
1, 5, 199, 995
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 988 and 995, than apply into the LCM equation.
GCF(988,995) = 1
LCM(988,995) = ( 988 × 995) / 1
LCM(988,995) = 983060 / 1
LCM(988,995) = 983060
(i) The LCM of 995 and 988 is associative
LCM of 988 and 995 = LCM of 995 and 988
1. What is the LCM of 988 and 995?
Answer: LCM of 988 and 995 is 983060.
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 995?
Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.
4. How to Find the LCM of 988 and 995?
Answer:
Least Common Multiple of 988 and 995 = 983060
Step 1: Find the prime factorization of 988
988 = 2 x 2 x 13 x 19
Step 2: Find the prime factorization of 995
995 = 5 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 983060 = 2 x 2 x 5 x 13 x 19 x 199
Step 4: Therefore, the least common multiple of 988 and 995 is 983060.