Least Common Multiple of 9904 and 9912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9904 and 9912 the smallest integer that is 12271056 that is divisible by both numbers.

Least Common Multiple (LCM) of 9904 and 9912 is 12271056.

LCM(9904,9912) = 12271056

LCM of 9904 and 9912

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

LCM of:
and

Least Common Multiple of 9904 and 9912

LCM of 9904 and 9912 is 12271056

Least common multiple can be found by multiplying the highest exponent prime factors of 9904 and 9912. First we will calculate the prime factors of 9904 and 9912.

Prime Factorization of 9904


2 9904
2 4952
2 2476
2 1238
619 619
1

Prime factors of 9904 are 2,619. Prime factorization of 9904 in exponential form is:

9904 = 24×6191

Prime Factorization of 9912


2 9912
2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 9912 are 2, 3, 7,59. Prime factorization of 9912 in exponential form is:

9912 = 23×31×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9904 and 9912.

LCM(9904,9912) = 24×31×71×591×6191
LCM(9904,9912) = 12271056

Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912

Least Common Multiple of 9904 and 9912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9904 and 9912, than apply into the LCM equation.

GCF(9904,9912) = 8
LCM(9904,9912) = ( 9904 × 9912) / 8
LCM(9904,9912) = 98168448 / 8
LCM(9904,9912) = 12271056

Properties of LCM 9904 and 9912

(i) The LCM of 9912 and 9904 is associative

LCM of 9904 and 9912 = LCM of 9912 and 9904

Related Least Common Multiples of 9904

Related Least Common Multiples of 9912

Frequently Asked Questions on LCM of 9904 and 9912

1. What is the LCM of 9904 and 9912?

Answer: LCM of 9904 and 9912 is 12271056.

2. What are the Factors of 9904?

Answer: Factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904. There are 10 integers that are factors of 9904. The greatest factor of 9904 is 9904.

3. What are the Factors of 9912?

Answer: Factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. There are 32 integers that are factors of 9912. The greatest factor of 9912 is 9912.

4. How to Find the LCM of 9904 and 9912?

Answer:

Least Common Multiple of 9904 and 9912 = 12271056

Step 1: Find the prime factorization of 9904

9904 = 2 x 2 x 2 x 2 x 619

Step 2: Find the prime factorization of 9912

9912 = 2 x 2 x 2 x 3 x 7 x 59

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

LCM = 12271056 = 2 x 2 x 2 x 2 x 3 x 7 x 59 x 619

Step 4: Therefore, the least common multiple of 9904 and 9912 is 12271056.