Least Common Multiple of 9912 and 9920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9912 and 9920 the smallest integer that is 12290880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9912 and 9920 is 12290880.

LCM(9912,9920) = 12290880

LCM of 9912 and 9920

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

LCM of:
and

Least Common Multiple of 9912 and 9920

LCM of 9912 and 9920 is 12290880

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9920. First we will calculate the prime factors of 9912 and 9920.

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

Prime Factorization of 9920


2 9920
2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 9920 are 2, 5,31. Prime factorization of 9920 in exponential form is:

9920 = 26×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9912 and 9920.

LCM(9912,9920) = 26×31×51×71×311×591
LCM(9912,9920) = 12290880

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

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920

Least Common Multiple of 9912 and 9920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9912 and 9920, than apply into the LCM equation.

GCF(9912,9920) = 8
LCM(9912,9920) = ( 9912 × 9920) / 8
LCM(9912,9920) = 98327040 / 8
LCM(9912,9920) = 12290880

Properties of LCM 9912 and 9920

(i) The LCM of 9920 and 9912 is associative

LCM of 9912 and 9920 = LCM of 9920 and 9912

Related Least Common Multiples of 9912

Related Least Common Multiples of 9920

Frequently Asked Questions on LCM of 9912 and 9920

1. What is the LCM of 9912 and 9920?

Answer: LCM of 9912 and 9920 is 12290880.

2. 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.

3. What are the Factors of 9920?

Answer: Factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. There are 28 integers that are factors of 9920. The greatest factor of 9920 is 9920.

4. How to Find the LCM of 9912 and 9920?

Answer:

Least Common Multiple of 9912 and 9920 = 12290880

Step 1: Find the prime factorization of 9912

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

Step 2: Find the prime factorization of 9920

9920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31

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

LCM = 12290880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 31 x 59

Step 4: Therefore, the least common multiple of 9912 and 9920 is 12290880.