Least Common Multiple of 991 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 991 and 994 the smallest integer that is 985054 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 994 is 985054.

LCM(991,994) = 985054

LCM of 991 and 994

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

LCM of:
and

Least Common Multiple of 991 and 994

LCM of 991 and 994 is 985054

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 994. First we will calculate the prime factors of 991 and 994.

Prime Factorization of 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

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 991 and 994.

LCM(991,994) = 21×71×711×9911
LCM(991,994) = 985054

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1, 991

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 991 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 991 and 994, than apply into the LCM equation.

GCF(991,994) = 1
LCM(991,994) = ( 991 × 994) / 1
LCM(991,994) = 985054 / 1
LCM(991,994) = 985054

Properties of LCM 991 and 994

(i) The LCM of 994 and 991 is associative

LCM of 991 and 994 = LCM of 994 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 994

Frequently Asked Questions on LCM of 991 and 994

1. What is the LCM of 991 and 994?

Answer: LCM of 991 and 994 is 985054.

2. What are the Factors of 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

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 991 and 994?

Answer:

Least Common Multiple of 991 and 994 = 985054

Step 1: Find the prime factorization of 991

991 = 991

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 = 985054 = 2 x 7 x 71 x 991

Step 4: Therefore, the least common multiple of 991 and 994 is 985054.