Least Common Multiple of 9969 and 9973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9969 and 9973 the smallest integer that is 99420837 that is divisible by both numbers.

Least Common Multiple (LCM) of 9969 and 9973 is 99420837.

LCM(9969,9973) = 99420837

LCM of 9969 and 9973

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

LCM of:
and

Least Common Multiple of 9969 and 9973

LCM of 9969 and 9973 is 99420837

Least common multiple can be found by multiplying the highest exponent prime factors of 9969 and 9973. First we will calculate the prime factors of 9969 and 9973.

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

Prime Factorization of 9973


9973 9973
1

Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:

9973 = 99731

Now multiplying the highest exponent prime factors to calculate the LCM of 9969 and 9973.

LCM(9969,9973) = 31×33231×99731
LCM(9969,9973) = 99420837

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1, 3, 3323, 9969

Factors of 9973

List of positive integer factors of 9973 that divides 9973 without a remainder.

1, 9973

Least Common Multiple of 9969 and 9973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9969 and 9973, than apply into the LCM equation.

GCF(9969,9973) = 1
LCM(9969,9973) = ( 9969 × 9973) / 1
LCM(9969,9973) = 99420837 / 1
LCM(9969,9973) = 99420837

Properties of LCM 9969 and 9973

(i) The LCM of 9973 and 9969 is associative

LCM of 9969 and 9973 = LCM of 9973 and 9969

Related Least Common Multiples of 9969

Related Least Common Multiples of 9973

Frequently Asked Questions on LCM of 9969 and 9973

1. What is the LCM of 9969 and 9973?

Answer: LCM of 9969 and 9973 is 99420837.

2. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

3. What are the Factors of 9973?

Answer: Factors of 9973 are 1, 9973. There are 2 integers that are factors of 9973. The greatest factor of 9973 is 9973.

4. How to Find the LCM of 9969 and 9973?

Answer:

Least Common Multiple of 9969 and 9973 = 99420837

Step 1: Find the prime factorization of 9969

9969 = 3 x 3323

Step 2: Find the prime factorization of 9973

9973 = 9973

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

LCM = 99420837 = 3 x 3323 x 9973

Step 4: Therefore, the least common multiple of 9969 and 9973 is 99420837.