Least Common Multiple of 994 and 1000

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 1000 the smallest integer that is 497000 that is divisible by both numbers.

Least Common Multiple (LCM) of 994 and 1000 is 497000.

LCM(994,1000) = 497000

LCM of 994 and 1000

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

LCM of:
and

Least Common Multiple of 994 and 1000

LCM of 994 and 1000 is 497000

Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 1000. First we will calculate the prime factors of 994 and 1000.

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 1000


2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:

1000 = 23×53

Now multiplying the highest exponent prime factors to calculate the LCM of 994 and 1000.

LCM(994,1000) = 23×53×71×711
LCM(994,1000) = 497000

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 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

Least Common Multiple of 994 and 1000 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 1000, than apply into the LCM equation.

GCF(994,1000) = 2
LCM(994,1000) = ( 994 × 1000) / 2
LCM(994,1000) = 994000 / 2
LCM(994,1000) = 497000

Properties of LCM 994 and 1000

(i) The LCM of 1000 and 994 is associative

LCM of 994 and 1000 = LCM of 1000 and 994

Related Least Common Multiples of 994

Related Least Common Multiples of 1000

Frequently Asked Questions on LCM of 994 and 1000

1. What is the LCM of 994 and 1000?

Answer: LCM of 994 and 1000 is 497000.

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 1000?

Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.

4. How to Find the LCM of 994 and 1000?

Answer:

Least Common Multiple of 994 and 1000 = 497000

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

Step 2: Find the prime factorization of 1000

1000 = 2 x 2 x 2 x 5 x 5 x 5

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

LCM = 497000 = 2 x 2 x 2 x 5 x 5 x 5 x 7 x 71

Step 4: Therefore, the least common multiple of 994 and 1000 is 497000.