Least Common Multiple of 9972 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 9972 and 9973 the smallest integer that is 99450756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9972 and 9973 is 99450756.

LCM(9972,9973) = 99450756

LCM of 9972 and 9973

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

LCM of:
and

Least Common Multiple of 9972 and 9973

LCM of 9972 and 9973 is 99450756

Least common multiple can be found by multiplying the highest exponent prime factors of 9972 and 9973. First we will calculate the prime factors of 9972 and 9973.

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

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 9972 and 9973.

LCM(9972,9973) = 22×32×2771×99731
LCM(9972,9973) = 99450756

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

Factors of 9973

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

1, 9973

Least Common Multiple of 9972 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 9972 and 9973, than apply into the LCM equation.

GCF(9972,9973) = 1
LCM(9972,9973) = ( 9972 × 9973) / 1
LCM(9972,9973) = 99450756 / 1
LCM(9972,9973) = 99450756

Properties of LCM 9972 and 9973

(i) The LCM of 9973 and 9972 is associative

LCM of 9972 and 9973 = LCM of 9973 and 9972

Related Least Common Multiples of 9972

Related Least Common Multiples of 9973

Frequently Asked Questions on LCM of 9972 and 9973

1. What is the LCM of 9972 and 9973?

Answer: LCM of 9972 and 9973 is 99450756.

2. 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.

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 9972 and 9973?

Answer:

Least Common Multiple of 9972 and 9973 = 99450756

Step 1: Find the prime factorization of 9972

9972 = 2 x 2 x 3 x 3 x 277

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 = 99450756 = 2 x 2 x 3 x 3 x 277 x 9973

Step 4: Therefore, the least common multiple of 9972 and 9973 is 99450756.