Least Common Multiple of 994 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 994 and 996 the smallest integer that is 495012 that is divisible by both numbers.

Least Common Multiple (LCM) of 994 and 996 is 495012.

LCM(994,996) = 495012

LCM of 994 and 996

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

LCM of:
and

Least Common Multiple of 994 and 996

LCM of 994 and 996 is 495012

Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 996. First we will calculate the prime factors of 994 and 996.

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

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 994 and 996.

LCM(994,996) = 22×31×71×711×831
LCM(994,996) = 495012

Factors of 994

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

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

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 994 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 994 and 996, than apply into the LCM equation.

GCF(994,996) = 2
LCM(994,996) = ( 994 × 996) / 2
LCM(994,996) = 990024 / 2
LCM(994,996) = 495012

Properties of LCM 994 and 996

(i) The LCM of 996 and 994 is associative

LCM of 994 and 996 = LCM of 996 and 994

Related Least Common Multiples of 994

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 994 and 996

1. What is the LCM of 994 and 996?

Answer: LCM of 994 and 996 is 495012.

2. 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.

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 994 and 996?

Answer:

Least Common Multiple of 994 and 996 = 495012

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

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 = 495012 = 2 x 2 x 3 x 7 x 71 x 83

Step 4: Therefore, the least common multiple of 994 and 996 is 495012.