Least Common Multiple of 982 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 982 and 988 the smallest integer that is 485108 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 988 is 485108.

LCM(982,988) = 485108

LCM of 982 and 988

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

LCM of:
and

Least Common Multiple of 982 and 988

LCM of 982 and 988 is 485108

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 988. First we will calculate the prime factors of 982 and 988.

Prime Factorization of 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

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 982 and 988.

LCM(982,988) = 22×131×191×4911
LCM(982,988) = 485108

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 982 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 982 and 988, than apply into the LCM equation.

GCF(982,988) = 2
LCM(982,988) = ( 982 × 988) / 2
LCM(982,988) = 970216 / 2
LCM(982,988) = 485108

Properties of LCM 982 and 988

(i) The LCM of 988 and 982 is associative

LCM of 982 and 988 = LCM of 988 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 982 and 988

1. What is the LCM of 982 and 988?

Answer: LCM of 982 and 988 is 485108.

2. What are the Factors of 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

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 982 and 988?

Answer:

Least Common Multiple of 982 and 988 = 485108

Step 1: Find the prime factorization of 982

982 = 2 x 491

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 = 485108 = 2 x 2 x 13 x 19 x 491

Step 4: Therefore, the least common multiple of 982 and 988 is 485108.