Least Common Multiple of 987 and 988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 987 and 988 the smallest integer that is 975156 that is divisible by both numbers.

Least Common Multiple (LCM) of 987 and 988 is 975156.

LCM(987,988) = 975156

LCM of 987 and 988

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 987 and 988

LCM of 987 and 988 is 975156

Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 988. First we will calculate the prime factors of 987 and 988.

Prime Factorization of 987


3 987
7 329
47 47
1

Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:

987 = 31×71×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 988.

LCM(987,988) = 22×31×71×131×191×471
LCM(987,988) = 975156

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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

Least Common Multiple of 987 and 988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 987 and 988, than apply into the LCM equation.

GCF(987,988) = 1
LCM(987,988) = ( 987 × 988) / 1
LCM(987,988) = 975156 / 1
LCM(987,988) = 975156

Properties of LCM 987 and 988

(i) The LCM of 988 and 987 is associative

LCM of 987 and 988 = LCM of 988 and 987

Related Least Common Multiples of 987

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 987 and 988

1. What is the LCM of 987 and 988?

Answer: LCM of 987 and 988 is 975156.

2. What are the Factors of 987?

Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.

3. 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.

4. How to Find the LCM of 987 and 988?

Answer:

Least Common Multiple of 987 and 988 = 975156

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 975156 = 2 x 2 x 3 x 7 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 987 and 988 is 975156.