Least Common Multiple of 9920 and 9928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9920 and 9928 the smallest integer that is 12310720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9920 and 9928 is 12310720.

LCM(9920,9928) = 12310720

LCM of 9920 and 9928

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

LCM of:
and

Least Common Multiple of 9920 and 9928

LCM of 9920 and 9928 is 12310720

Least common multiple can be found by multiplying the highest exponent prime factors of 9920 and 9928. First we will calculate the prime factors of 9920 and 9928.

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

Prime Factorization of 9928


2 9928
2 4964
2 2482
17 1241
73 73
1

Prime factors of 9928 are 2, 17,73. Prime factorization of 9928 in exponential form is:

9928 = 23×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9920 and 9928.

LCM(9920,9928) = 26×51×171×311×731
LCM(9920,9928) = 12310720

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

Factors of 9928

List of positive integer factors of 9928 that divides 9928 without a remainder.

1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928

Least Common Multiple of 9920 and 9928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9920 and 9928, than apply into the LCM equation.

GCF(9920,9928) = 8
LCM(9920,9928) = ( 9920 × 9928) / 8
LCM(9920,9928) = 98485760 / 8
LCM(9920,9928) = 12310720

Properties of LCM 9920 and 9928

(i) The LCM of 9928 and 9920 is associative

LCM of 9920 and 9928 = LCM of 9928 and 9920

Related Least Common Multiples of 9920

Related Least Common Multiples of 9928

Frequently Asked Questions on LCM of 9920 and 9928

1. What is the LCM of 9920 and 9928?

Answer: LCM of 9920 and 9928 is 12310720.

2. 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.

3. What are the Factors of 9928?

Answer: Factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928. There are 16 integers that are factors of 9928. The greatest factor of 9928 is 9928.

4. How to Find the LCM of 9920 and 9928?

Answer:

Least Common Multiple of 9920 and 9928 = 12310720

Step 1: Find the prime factorization of 9920

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

Step 2: Find the prime factorization of 9928

9928 = 2 x 2 x 2 x 17 x 73

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

LCM = 12310720 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 31 x 73

Step 4: Therefore, the least common multiple of 9920 and 9928 is 12310720.