Least Common Multiple of 9972 and 9979

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 9979 the smallest integer that is 99510588 that is divisible by both numbers.

Least Common Multiple (LCM) of 9972 and 9979 is 99510588.

LCM(9972,9979) = 99510588

LCM of 9972 and 9979

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

LCM of:
and

Least Common Multiple of 9972 and 9979

LCM of 9972 and 9979 is 99510588

Least common multiple can be found by multiplying the highest exponent prime factors of 9972 and 9979. First we will calculate the prime factors of 9972 and 9979.

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 9979


17 9979
587 587
1

Prime factors of 9979 are 17,587. Prime factorization of 9979 in exponential form is:

9979 = 171×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 9972 and 9979.

LCM(9972,9979) = 22×32×171×2771×5871
LCM(9972,9979) = 99510588

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 9979

List of positive integer factors of 9979 that divides 9979 without a remainder.

1, 17, 587, 9979

Least Common Multiple of 9972 and 9979 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 9979, than apply into the LCM equation.

GCF(9972,9979) = 1
LCM(9972,9979) = ( 9972 × 9979) / 1
LCM(9972,9979) = 99510588 / 1
LCM(9972,9979) = 99510588

Properties of LCM 9972 and 9979

(i) The LCM of 9979 and 9972 is associative

LCM of 9972 and 9979 = LCM of 9979 and 9972

Related Least Common Multiples of 9972

Related Least Common Multiples of 9979

Frequently Asked Questions on LCM of 9972 and 9979

1. What is the LCM of 9972 and 9979?

Answer: LCM of 9972 and 9979 is 99510588.

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 9979?

Answer: Factors of 9979 are 1, 17, 587, 9979. There are 4 integers that are factors of 9979. The greatest factor of 9979 is 9979.

4. How to Find the LCM of 9972 and 9979?

Answer:

Least Common Multiple of 9972 and 9979 = 99510588

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 9979

9979 = 17 x 587

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

LCM = 99510588 = 2 x 2 x 3 x 3 x 17 x 277 x 587

Step 4: Therefore, the least common multiple of 9972 and 9979 is 99510588.