Least Common Multiple of 986 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 986 and 988 the smallest integer that is 487084 that is divisible by both numbers.

Least Common Multiple (LCM) of 986 and 988 is 487084.

LCM(986,988) = 487084

LCM of 986 and 988

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

LCM of:
and

Least Common Multiple of 986 and 988

LCM of 986 and 988 is 487084

Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 988. First we will calculate the prime factors of 986 and 988.

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

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 986 and 988.

LCM(986,988) = 22×131×171×191×291
LCM(986,988) = 487084

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 986 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 986 and 988, than apply into the LCM equation.

GCF(986,988) = 2
LCM(986,988) = ( 986 × 988) / 2
LCM(986,988) = 974168 / 2
LCM(986,988) = 487084

Properties of LCM 986 and 988

(i) The LCM of 988 and 986 is associative

LCM of 986 and 988 = LCM of 988 and 986

Related Least Common Multiples of 986

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 986 and 988

1. What is the LCM of 986 and 988?

Answer: LCM of 986 and 988 is 487084.

2. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

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 986 and 988?

Answer:

Least Common Multiple of 986 and 988 = 487084

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

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 = 487084 = 2 x 2 x 13 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 986 and 988 is 487084.