Least Common Multiple of 988 and 992

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 992 the smallest integer that is 245024 that is divisible by both numbers.

Least Common Multiple (LCM) of 988 and 992 is 245024.

LCM(988,992) = 245024

LCM of 988 and 992

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

LCM of:
and

Least Common Multiple of 988 and 992

LCM of 988 and 992 is 245024

Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 992. First we will calculate the prime factors of 988 and 992.

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 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Now multiplying the highest exponent prime factors to calculate the LCM of 988 and 992.

LCM(988,992) = 25×131×191×311
LCM(988,992) = 245024

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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Least Common Multiple of 988 and 992 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 992, than apply into the LCM equation.

GCF(988,992) = 4
LCM(988,992) = ( 988 × 992) / 4
LCM(988,992) = 980096 / 4
LCM(988,992) = 245024

Properties of LCM 988 and 992

(i) The LCM of 992 and 988 is associative

LCM of 988 and 992 = LCM of 992 and 988

Related Least Common Multiples of 988

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 988 and 992

1. What is the LCM of 988 and 992?

Answer: LCM of 988 and 992 is 245024.

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 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the LCM of 988 and 992?

Answer:

Least Common Multiple of 988 and 992 = 245024

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 245024 = 2 x 2 x 2 x 2 x 2 x 13 x 19 x 31

Step 4: Therefore, the least common multiple of 988 and 992 is 245024.