Least Common Multiple of 9997 and 10003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9997 and 10003 the smallest integer that is 99999991 that is divisible by both numbers.

Least Common Multiple (LCM) of 9997 and 10003 is 99999991.

LCM(9997,10003) = 99999991

LCM of 9997 and 10003

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

LCM of:
and

Least Common Multiple of 9997 and 10003

LCM of 9997 and 10003 is 99999991

Least common multiple can be found by multiplying the highest exponent prime factors of 9997 and 10003. First we will calculate the prime factors of 9997 and 10003.

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

Prime Factorization of 10003


7 10003
1429 1429
1

Prime factors of 10003 are 7,1429. Prime factorization of 10003 in exponential form is:

10003 = 71×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 9997 and 10003.

LCM(9997,10003) = 71×131×7691×14291
LCM(9997,10003) = 99999991

Factors of 9997

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

1, 13, 769, 9997

Factors of 10003

List of positive integer factors of 10003 that divides 10003 without a remainder.

1, 7, 1429, 10003

Least Common Multiple of 9997 and 10003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9997 and 10003, than apply into the LCM equation.

GCF(9997,10003) = 1
LCM(9997,10003) = ( 9997 × 10003) / 1
LCM(9997,10003) = 99999991 / 1
LCM(9997,10003) = 99999991

Properties of LCM 9997 and 10003

(i) The LCM of 10003 and 9997 is associative

LCM of 9997 and 10003 = LCM of 10003 and 9997

Related Least Common Multiples of 9997

Related Least Common Multiples of 10003

Frequently Asked Questions on LCM of 9997 and 10003

1. What is the LCM of 9997 and 10003?

Answer: LCM of 9997 and 10003 is 99999991.

2. 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.

3. What are the Factors of 10003?

Answer: Factors of 10003 are 1, 7, 1429, 10003. There are 4 integers that are factors of 10003. The greatest factor of 10003 is 10003.

4. How to Find the LCM of 9997 and 10003?

Answer:

Least Common Multiple of 9997 and 10003 = 99999991

Step 1: Find the prime factorization of 9997

9997 = 13 x 769

Step 2: Find the prime factorization of 10003

10003 = 7 x 1429

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

LCM = 99999991 = 7 x 13 x 769 x 1429

Step 4: Therefore, the least common multiple of 9997 and 10003 is 99999991.