Least Common Multiple of 996 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 996 and 998 the smallest integer that is 497004 that is divisible by both numbers.

Least Common Multiple (LCM) of 996 and 998 is 497004.

LCM(996,998) = 497004

LCM of 996 and 998

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

LCM of:
and

Least Common Multiple of 996 and 998

LCM of 996 and 998 is 497004

Least common multiple can be found by multiplying the highest exponent prime factors of 996 and 998. First we will calculate the prime factors of 996 and 998.

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

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 996 and 998.

LCM(996,998) = 22×31×831×4991
LCM(996,998) = 497004

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

Factors of 998

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

1, 2, 499, 998

Least Common Multiple of 996 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 996 and 998, than apply into the LCM equation.

GCF(996,998) = 2
LCM(996,998) = ( 996 × 998) / 2
LCM(996,998) = 994008 / 2
LCM(996,998) = 497004

Properties of LCM 996 and 998

(i) The LCM of 998 and 996 is associative

LCM of 996 and 998 = LCM of 998 and 996

Related Least Common Multiples of 996

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 996 and 998

1. What is the LCM of 996 and 998?

Answer: LCM of 996 and 998 is 497004.

2. 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.

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 996 and 998?

Answer:

Least Common Multiple of 996 and 998 = 497004

Step 1: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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 = 497004 = 2 x 2 x 3 x 83 x 499

Step 4: Therefore, the least common multiple of 996 and 998 is 497004.