Least Common Multiple of 9976 and 9981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9976 and 9981 the smallest integer that is 99570456 that is divisible by both numbers.

Least Common Multiple (LCM) of 9976 and 9981 is 99570456.

LCM(9976,9981) = 99570456

LCM of 9976 and 9981

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

LCM of:
and

Least Common Multiple of 9976 and 9981

LCM of 9976 and 9981 is 99570456

Least common multiple can be found by multiplying the highest exponent prime factors of 9976 and 9981. First we will calculate the prime factors of 9976 and 9981.

Prime Factorization of 9976


2 9976
2 4988
2 2494
29 1247
43 43
1

Prime factors of 9976 are 2, 29,43. Prime factorization of 9976 in exponential form is:

9976 = 23×291×431

Prime Factorization of 9981


3 9981
3 3327
1109 1109
1

Prime factors of 9981 are 3,1109. Prime factorization of 9981 in exponential form is:

9981 = 32×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 9976 and 9981.

LCM(9976,9981) = 23×32×291×431×11091
LCM(9976,9981) = 99570456

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976

Factors of 9981

List of positive integer factors of 9981 that divides 9981 without a remainder.

1, 3, 9, 1109, 3327, 9981

Least Common Multiple of 9976 and 9981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9976 and 9981, than apply into the LCM equation.

GCF(9976,9981) = 1
LCM(9976,9981) = ( 9976 × 9981) / 1
LCM(9976,9981) = 99570456 / 1
LCM(9976,9981) = 99570456

Properties of LCM 9976 and 9981

(i) The LCM of 9981 and 9976 is associative

LCM of 9976 and 9981 = LCM of 9981 and 9976

Related Least Common Multiples of 9976

Related Least Common Multiples of 9981

Frequently Asked Questions on LCM of 9976 and 9981

1. What is the LCM of 9976 and 9981?

Answer: LCM of 9976 and 9981 is 99570456.

2. What are the Factors of 9976?

Answer: Factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976. There are 16 integers that are factors of 9976. The greatest factor of 9976 is 9976.

3. What are the Factors of 9981?

Answer: Factors of 9981 are 1, 3, 9, 1109, 3327, 9981. There are 6 integers that are factors of 9981. The greatest factor of 9981 is 9981.

4. How to Find the LCM of 9976 and 9981?

Answer:

Least Common Multiple of 9976 and 9981 = 99570456

Step 1: Find the prime factorization of 9976

9976 = 2 x 2 x 2 x 29 x 43

Step 2: Find the prime factorization of 9981

9981 = 3 x 3 x 1109

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

LCM = 99570456 = 2 x 2 x 2 x 3 x 3 x 29 x 43 x 1109

Step 4: Therefore, the least common multiple of 9976 and 9981 is 99570456.