Least Common Multiple of 992 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 992 and 996 the smallest integer that is 247008 that is divisible by both numbers.

Least Common Multiple (LCM) of 992 and 996 is 247008.

LCM(992,996) = 247008

LCM of 992 and 996

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

LCM of:
and

Least Common Multiple of 992 and 996

LCM of 992 and 996 is 247008

Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 996. First we will calculate the prime factors of 992 and 996.

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 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 992 and 996.

LCM(992,996) = 25×31×311×831
LCM(992,996) = 247008

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 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 992 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 992 and 996, than apply into the LCM equation.

GCF(992,996) = 4
LCM(992,996) = ( 992 × 996) / 4
LCM(992,996) = 988032 / 4
LCM(992,996) = 247008

Properties of LCM 992 and 996

(i) The LCM of 996 and 992 is associative

LCM of 992 and 996 = LCM of 996 and 992

Related Least Common Multiples of 992

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 992 and 996

1. What is the LCM of 992 and 996?

Answer: LCM of 992 and 996 is 247008.

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 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 992 and 996?

Answer:

Least Common Multiple of 992 and 996 = 247008

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 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 = 247008 = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 83

Step 4: Therefore, the least common multiple of 992 and 996 is 247008.