Least Common Multiple of 9920 and 9924

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 9924 the smallest integer that is 24611520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9920 and 9924 is 24611520.

LCM(9920,9924) = 24611520

LCM of 9920 and 9924

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

LCM of:
and

Least Common Multiple of 9920 and 9924

LCM of 9920 and 9924 is 24611520

Least common multiple can be found by multiplying the highest exponent prime factors of 9920 and 9924. First we will calculate the prime factors of 9920 and 9924.

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 9924


2 9924
2 4962
3 2481
827 827
1

Prime factors of 9924 are 2, 3,827. Prime factorization of 9924 in exponential form is:

9924 = 22×31×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 9920 and 9924.

LCM(9920,9924) = 26×31×51×311×8271
LCM(9920,9924) = 24611520

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 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924

Least Common Multiple of 9920 and 9924 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 9924, than apply into the LCM equation.

GCF(9920,9924) = 4
LCM(9920,9924) = ( 9920 × 9924) / 4
LCM(9920,9924) = 98446080 / 4
LCM(9920,9924) = 24611520

Properties of LCM 9920 and 9924

(i) The LCM of 9924 and 9920 is associative

LCM of 9920 and 9924 = LCM of 9924 and 9920

Related Least Common Multiples of 9920

Related Least Common Multiples of 9924

Frequently Asked Questions on LCM of 9920 and 9924

1. What is the LCM of 9920 and 9924?

Answer: LCM of 9920 and 9924 is 24611520.

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 9924?

Answer: Factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924. There are 12 integers that are factors of 9924. The greatest factor of 9924 is 9924.

4. How to Find the LCM of 9920 and 9924?

Answer:

Least Common Multiple of 9920 and 9924 = 24611520

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 9924

9924 = 2 x 2 x 3 x 827

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

LCM = 24611520 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 827

Step 4: Therefore, the least common multiple of 9920 and 9924 is 24611520.