Least Common Multiple of 992 and 998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 992 and 998 the smallest integer that is 495008 that is divisible by both numbers.

Least Common Multiple (LCM) of 992 and 998 is 495008.

LCM(992,998) = 495008

LCM of 992 and 998

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

LCM of:
and

Least Common Multiple of 992 and 998

LCM of 992 and 998 is 495008

Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 998. First we will calculate the prime factors of 992 and 998.

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

Prime Factorization of 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 992 and 998.

LCM(992,998) = 25×311×4991
LCM(992,998) = 495008

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

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Least Common Multiple of 992 and 998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 992 and 998, than apply into the LCM equation.

GCF(992,998) = 2
LCM(992,998) = ( 992 × 998) / 2
LCM(992,998) = 990016 / 2
LCM(992,998) = 495008

Properties of LCM 992 and 998

(i) The LCM of 998 and 992 is associative

LCM of 992 and 998 = LCM of 998 and 992

Related Least Common Multiples of 992

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 992 and 998

1. What is the LCM of 992 and 998?

Answer: LCM of 992 and 998 is 495008.

2. 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.

3. What are the Factors of 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. How to Find the LCM of 992 and 998?

Answer:

Least Common Multiple of 992 and 998 = 495008

Step 1: Find the prime factorization of 992

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

Step 2: Find the prime factorization of 998

998 = 2 x 499

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

LCM = 495008 = 2 x 2 x 2 x 2 x 2 x 31 x 499

Step 4: Therefore, the least common multiple of 992 and 998 is 495008.