Least Common Multiple of 988 and 996

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 996 the smallest integer that is 246012 that is divisible by both numbers.

Least Common Multiple (LCM) of 988 and 996 is 246012.

LCM(988,996) = 246012

LCM of 988 and 996

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

LCM of:
and

Least Common Multiple of 988 and 996

LCM of 988 and 996 is 246012

Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 996. First we will calculate the prime factors of 988 and 996.

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 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2, 3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 988 and 996.

LCM(988,996) = 22×31×131×191×831
LCM(988,996) = 246012

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 996

List of positive integer factors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Least Common Multiple of 988 and 996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 988 and 996, than apply into the LCM equation.

GCF(988,996) = 4
LCM(988,996) = ( 988 × 996) / 4
LCM(988,996) = 984048 / 4
LCM(988,996) = 246012

Properties of LCM 988 and 996

(i) The LCM of 996 and 988 is associative

LCM of 988 and 996 = LCM of 996 and 988

Related Least Common Multiples of 988

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 988 and 996

1. What is the LCM of 988 and 996?

Answer: LCM of 988 and 996 is 246012.

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 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the LCM of 988 and 996?

Answer:

Least Common Multiple of 988 and 996 = 246012

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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

LCM = 246012 = 2 x 2 x 3 x 13 x 19 x 83

Step 4: Therefore, the least common multiple of 988 and 996 is 246012.