Least Common Multiple of 992 and 994

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 994 the smallest integer that is 493024 that is divisible by both numbers.

Least Common Multiple (LCM) of 992 and 994 is 493024.

LCM(992,994) = 493024

LCM of 992 and 994

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

LCM of:
and

Least Common Multiple of 992 and 994

LCM of 992 and 994 is 493024

Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 994. First we will calculate the prime factors of 992 and 994.

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 994


2 994
7 497
71 71
1

Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 992 and 994.

LCM(992,994) = 25×71×311×711
LCM(992,994) = 493024

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 994

List of positive integer factors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Least Common Multiple of 992 and 994 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 994, than apply into the LCM equation.

GCF(992,994) = 2
LCM(992,994) = ( 992 × 994) / 2
LCM(992,994) = 986048 / 2
LCM(992,994) = 493024

Properties of LCM 992 and 994

(i) The LCM of 994 and 992 is associative

LCM of 992 and 994 = LCM of 994 and 992

Related Least Common Multiples of 992

Related Least Common Multiples of 994

Frequently Asked Questions on LCM of 992 and 994

1. What is the LCM of 992 and 994?

Answer: LCM of 992 and 994 is 493024.

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 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

4. How to Find the LCM of 992 and 994?

Answer:

Least Common Multiple of 992 and 994 = 493024

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 994

994 = 2 x 7 x 71

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

LCM = 493024 = 2 x 2 x 2 x 2 x 2 x 7 x 31 x 71

Step 4: Therefore, the least common multiple of 992 and 994 is 493024.