Least Common Multiple of 9976 and 9983

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 9983 the smallest integer that is 99590408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9976 and 9983 is 99590408.

LCM(9976,9983) = 99590408

LCM of 9976 and 9983

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

LCM of:
and

Least Common Multiple of 9976 and 9983

LCM of 9976 and 9983 is 99590408

Least common multiple can be found by multiplying the highest exponent prime factors of 9976 and 9983. First we will calculate the prime factors of 9976 and 9983.

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 9983


67 9983
149 149
1

Prime factors of 9983 are 67,149. Prime factorization of 9983 in exponential form is:

9983 = 671×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9976 and 9983.

LCM(9976,9983) = 23×291×431×671×1491
LCM(9976,9983) = 99590408

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 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1, 67, 149, 9983

Least Common Multiple of 9976 and 9983 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 9983, than apply into the LCM equation.

GCF(9976,9983) = 1
LCM(9976,9983) = ( 9976 × 9983) / 1
LCM(9976,9983) = 99590408 / 1
LCM(9976,9983) = 99590408

Properties of LCM 9976 and 9983

(i) The LCM of 9983 and 9976 is associative

LCM of 9976 and 9983 = LCM of 9983 and 9976

Related Least Common Multiples of 9976

Related Least Common Multiples of 9983

Frequently Asked Questions on LCM of 9976 and 9983

1. What is the LCM of 9976 and 9983?

Answer: LCM of 9976 and 9983 is 99590408.

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 9983?

Answer: Factors of 9983 are 1, 67, 149, 9983. There are 4 integers that are factors of 9983. The greatest factor of 9983 is 9983.

4. How to Find the LCM of 9976 and 9983?

Answer:

Least Common Multiple of 9976 and 9983 = 99590408

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 9983

9983 = 67 x 149

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

LCM = 99590408 = 2 x 2 x 2 x 29 x 43 x 67 x 149

Step 4: Therefore, the least common multiple of 9976 and 9983 is 99590408.