Least Common Multiple of 994 and 998

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 998 the smallest integer that is 496006 that is divisible by both numbers.

Least Common Multiple (LCM) of 994 and 998 is 496006.

LCM(994,998) = 496006

LCM of 994 and 998

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

LCM of:
and

Least Common Multiple of 994 and 998

LCM of 994 and 998 is 496006

Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 998. First we will calculate the prime factors of 994 and 998.

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 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 994 and 998.

LCM(994,998) = 21×71×711×4991
LCM(994,998) = 496006

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 998

List of positive integer factors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Least Common Multiple of 994 and 998 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 998, than apply into the LCM equation.

GCF(994,998) = 2
LCM(994,998) = ( 994 × 998) / 2
LCM(994,998) = 992012 / 2
LCM(994,998) = 496006

Properties of LCM 994 and 998

(i) The LCM of 998 and 994 is associative

LCM of 994 and 998 = LCM of 998 and 994

Related Least Common Multiples of 994

Related Least Common Multiples of 998

Frequently Asked Questions on LCM of 994 and 998

1. What is the LCM of 994 and 998?

Answer: LCM of 994 and 998 is 496006.

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 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. How to Find the LCM of 994 and 998?

Answer:

Least Common Multiple of 994 and 998 = 496006

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

Step 2: Find the prime factorization of 998

998 = 2 x 499

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

LCM = 496006 = 2 x 7 x 71 x 499

Step 4: Therefore, the least common multiple of 994 and 998 is 496006.