Least Common Multiple of 9915 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 9915 and 9920 the smallest integer that is 19671360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9915 and 9920 is 19671360.

LCM(9915,9920) = 19671360

LCM of 9915 and 9920

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

LCM of:
and

Least Common Multiple of 9915 and 9920

LCM of 9915 and 9920 is 19671360

Least common multiple can be found by multiplying the highest exponent prime factors of 9915 and 9920. First we will calculate the prime factors of 9915 and 9920.

Prime Factorization of 9915


3 9915
5 3305
661 661
1

Prime factors of 9915 are 3, 5,661. Prime factorization of 9915 in exponential form is:

9915 = 31×51×6611

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 9915 and 9920.

LCM(9915,9920) = 26×31×51×311×6611
LCM(9915,9920) = 19671360

Factors of 9915

List of positive integer factors of 9915 that divides 9915 without a remainder.

1, 3, 5, 15, 661, 1983, 3305, 9915

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 9915 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 9915 and 9920, than apply into the LCM equation.

GCF(9915,9920) = 5
LCM(9915,9920) = ( 9915 × 9920) / 5
LCM(9915,9920) = 98356800 / 5
LCM(9915,9920) = 19671360

Properties of LCM 9915 and 9920

(i) The LCM of 9920 and 9915 is associative

LCM of 9915 and 9920 = LCM of 9920 and 9915

Related Least Common Multiples of 9915

Related Least Common Multiples of 9920

Frequently Asked Questions on LCM of 9915 and 9920

1. What is the LCM of 9915 and 9920?

Answer: LCM of 9915 and 9920 is 19671360.

2. What are the Factors of 9915?

Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.

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 9915 and 9920?

Answer:

Least Common Multiple of 9915 and 9920 = 19671360

Step 1: Find the prime factorization of 9915

9915 = 3 x 5 x 661

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 = 19671360 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 661

Step 4: Therefore, the least common multiple of 9915 and 9920 is 19671360.