Least Common Multiple of 981 and 986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 981 and 986 the smallest integer that is 967266 that is divisible by both numbers.

Least Common Multiple (LCM) of 981 and 986 is 967266.

LCM(981,986) = 967266

LCM of 981 and 986

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

LCM of:
and

Least Common Multiple of 981 and 986

LCM of 981 and 986 is 967266

Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 986. First we will calculate the prime factors of 981 and 986.

Prime Factorization of 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 981 and 986.

LCM(981,986) = 21×32×171×291×1091
LCM(981,986) = 967266

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Least Common Multiple of 981 and 986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 981 and 986, than apply into the LCM equation.

GCF(981,986) = 1
LCM(981,986) = ( 981 × 986) / 1
LCM(981,986) = 967266 / 1
LCM(981,986) = 967266

Properties of LCM 981 and 986

(i) The LCM of 986 and 981 is associative

LCM of 981 and 986 = LCM of 986 and 981

Related Least Common Multiples of 981

Related Least Common Multiples of 986

Frequently Asked Questions on LCM of 981 and 986

1. What is the LCM of 981 and 986?

Answer: LCM of 981 and 986 is 967266.

2. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

3. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

4. How to Find the LCM of 981 and 986?

Answer:

Least Common Multiple of 981 and 986 = 967266

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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

LCM = 967266 = 2 x 3 x 3 x 17 x 29 x 109

Step 4: Therefore, the least common multiple of 981 and 986 is 967266.