Least Common Multiple of 9976 and 9980

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 9980 the smallest integer that is 24890120 that is divisible by both numbers.

Least Common Multiple (LCM) of 9976 and 9980 is 24890120.

LCM(9976,9980) = 24890120

LCM of 9976 and 9980

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

LCM of:
and

Least Common Multiple of 9976 and 9980

LCM of 9976 and 9980 is 24890120

Least common multiple can be found by multiplying the highest exponent prime factors of 9976 and 9980. First we will calculate the prime factors of 9976 and 9980.

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 9980


2 9980
2 4990
5 2495
499 499
1

Prime factors of 9980 are 2, 5,499. Prime factorization of 9980 in exponential form is:

9980 = 22×51×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 9976 and 9980.

LCM(9976,9980) = 23×51×291×431×4991
LCM(9976,9980) = 24890120

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 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980

Least Common Multiple of 9976 and 9980 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 9980, than apply into the LCM equation.

GCF(9976,9980) = 4
LCM(9976,9980) = ( 9976 × 9980) / 4
LCM(9976,9980) = 99560480 / 4
LCM(9976,9980) = 24890120

Properties of LCM 9976 and 9980

(i) The LCM of 9980 and 9976 is associative

LCM of 9976 and 9980 = LCM of 9980 and 9976

Related Least Common Multiples of 9976

Related Least Common Multiples of 9980

Frequently Asked Questions on LCM of 9976 and 9980

1. What is the LCM of 9976 and 9980?

Answer: LCM of 9976 and 9980 is 24890120.

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 9980?

Answer: Factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980. There are 12 integers that are factors of 9980. The greatest factor of 9980 is 9980.

4. How to Find the LCM of 9976 and 9980?

Answer:

Least Common Multiple of 9976 and 9980 = 24890120

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 9980

9980 = 2 x 2 x 5 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 = 24890120 = 2 x 2 x 2 x 5 x 29 x 43 x 499

Step 4: Therefore, the least common multiple of 9976 and 9980 is 24890120.