Least Common Multiple of 9967 and 9972

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 9972 the smallest integer that is 99390924 that is divisible by both numbers.

Least Common Multiple (LCM) of 9967 and 9972 is 99390924.

LCM(9967,9972) = 99390924

LCM of 9967 and 9972

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

LCM of:
and

Least Common Multiple of 9967 and 9972

LCM of 9967 and 9972 is 99390924

Least common multiple can be found by multiplying the highest exponent prime factors of 9967 and 9972. First we will calculate the prime factors of 9967 and 9972.

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 9972


2 9972
2 4986
3 2493
3 831
277 277
1

Prime factors of 9972 are 2, 3,277. Prime factorization of 9972 in exponential form is:

9972 = 22×32×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9967 and 9972.

LCM(9967,9972) = 22×32×2771×99671
LCM(9967,9972) = 99390924

Factors of 9967

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

1, 9967

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972

Least Common Multiple of 9967 and 9972 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 9972, than apply into the LCM equation.

GCF(9967,9972) = 1
LCM(9967,9972) = ( 9967 × 9972) / 1
LCM(9967,9972) = 99390924 / 1
LCM(9967,9972) = 99390924

Properties of LCM 9967 and 9972

(i) The LCM of 9972 and 9967 is associative

LCM of 9967 and 9972 = LCM of 9972 and 9967

Related Least Common Multiples of 9967

Related Least Common Multiples of 9972

Frequently Asked Questions on LCM of 9967 and 9972

1. What is the LCM of 9967 and 9972?

Answer: LCM of 9967 and 9972 is 99390924.

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 9972?

Answer: Factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. There are 18 integers that are factors of 9972. The greatest factor of 9972 is 9972.

4. How to Find the LCM of 9967 and 9972?

Answer:

Least Common Multiple of 9967 and 9972 = 99390924

Step 1: Find the prime factorization of 9967

9967 = 9967

Step 2: Find the prime factorization of 9972

9972 = 2 x 2 x 3 x 3 x 277

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

LCM = 99390924 = 2 x 2 x 3 x 3 x 277 x 9967

Step 4: Therefore, the least common multiple of 9967 and 9972 is 99390924.