Least Common Multiple of 9967 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 9967 and 9973 the smallest integer that is 99400891 that is divisible by both numbers.

Least Common Multiple (LCM) of 9967 and 9973 is 99400891.

LCM(9967,9973) = 99400891

LCM of 9967 and 9973

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

LCM of:
and

Least Common Multiple of 9967 and 9973

LCM of 9967 and 9973 is 99400891

Least common multiple can be found by multiplying the highest exponent prime factors of 9967 and 9973. First we will calculate the prime factors of 9967 and 9973.

Prime Factorization of 9967


9967 9967
1

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 99671

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 9967 and 9973.

LCM(9967,9973) = 99671×99731
LCM(9967,9973) = 99400891

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1, 9967

Factors of 9973

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

1, 9973

Least Common Multiple of 9967 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 9967 and 9973, than apply into the LCM equation.

GCF(9967,9973) = 1
LCM(9967,9973) = ( 9967 × 9973) / 1
LCM(9967,9973) = 99400891 / 1
LCM(9967,9973) = 99400891

Properties of LCM 9967 and 9973

(i) The LCM of 9973 and 9967 is associative

LCM of 9967 and 9973 = LCM of 9973 and 9967

Related Least Common Multiples of 9967

Related Least Common Multiples of 9973

Frequently Asked Questions on LCM of 9967 and 9973

1. What is the LCM of 9967 and 9973?

Answer: LCM of 9967 and 9973 is 99400891.

2. What are the Factors of 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

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 9967 and 9973?

Answer:

Least Common Multiple of 9967 and 9973 = 99400891

Step 1: Find the prime factorization of 9967

9967 = 9967

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 = 99400891 = 9967 x 9973

Step 4: Therefore, the least common multiple of 9967 and 9973 is 99400891.