Least Common Multiple of 984 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 984 and 992 the smallest integer that is 122016 that is divisible by both numbers.

Least Common Multiple (LCM) of 984 and 992 is 122016.

LCM(984,992) = 122016

LCM of 984 and 992

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

LCM of:
and

Least Common Multiple of 984 and 992

LCM of 984 and 992 is 122016

Least common multiple can be found by multiplying the highest exponent prime factors of 984 and 992. First we will calculate the prime factors of 984 and 992.

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

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 984 and 992.

LCM(984,992) = 25×31×311×411
LCM(984,992) = 122016

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 984 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 984 and 992, than apply into the LCM equation.

GCF(984,992) = 8
LCM(984,992) = ( 984 × 992) / 8
LCM(984,992) = 976128 / 8
LCM(984,992) = 122016

Properties of LCM 984 and 992

(i) The LCM of 992 and 984 is associative

LCM of 984 and 992 = LCM of 992 and 984

Related Least Common Multiples of 984

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 984 and 992

1. What is the LCM of 984 and 992?

Answer: LCM of 984 and 992 is 122016.

2. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

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 984 and 992?

Answer:

Least Common Multiple of 984 and 992 = 122016

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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 = 122016 = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 984 and 992 is 122016.