Least Common Multiple of 9989 and 9997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9989 and 9997 the smallest integer that is 99860033 that is divisible by both numbers.

Least Common Multiple (LCM) of 9989 and 9997 is 99860033.

LCM(9989,9997) = 99860033

LCM of 9989 and 9997

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

LCM of:
and

Least Common Multiple of 9989 and 9997

LCM of 9989 and 9997 is 99860033

Least common multiple can be found by multiplying the highest exponent prime factors of 9989 and 9997. First we will calculate the prime factors of 9989 and 9997.

Prime Factorization of 9989


7 9989
1427 1427
1

Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:

9989 = 71×14271

Prime Factorization of 9997


13 9997
769 769
1

Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:

9997 = 131×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 9989 and 9997.

LCM(9989,9997) = 71×131×7691×14271
LCM(9989,9997) = 99860033

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1, 7, 1427, 9989

Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1, 13, 769, 9997

Least Common Multiple of 9989 and 9997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9989 and 9997, than apply into the LCM equation.

GCF(9989,9997) = 1
LCM(9989,9997) = ( 9989 × 9997) / 1
LCM(9989,9997) = 99860033 / 1
LCM(9989,9997) = 99860033

Properties of LCM 9989 and 9997

(i) The LCM of 9997 and 9989 is associative

LCM of 9989 and 9997 = LCM of 9997 and 9989

Related Least Common Multiples of 9989

Related Least Common Multiples of 9997

Frequently Asked Questions on LCM of 9989 and 9997

1. What is the LCM of 9989 and 9997?

Answer: LCM of 9989 and 9997 is 99860033.

2. What are the Factors of 9989?

Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.

3. What are the Factors of 9997?

Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.

4. How to Find the LCM of 9989 and 9997?

Answer:

Least Common Multiple of 9989 and 9997 = 99860033

Step 1: Find the prime factorization of 9989

9989 = 7 x 1427

Step 2: Find the prime factorization of 9997

9997 = 13 x 769

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

LCM = 99860033 = 7 x 13 x 769 x 1427

Step 4: Therefore, the least common multiple of 9989 and 9997 is 99860033.