Least Common Multiple of 9920 and 9925

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 9925 the smallest integer that is 19691200 that is divisible by both numbers.

Least Common Multiple (LCM) of 9920 and 9925 is 19691200.

LCM(9920,9925) = 19691200

LCM of 9920 and 9925

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

LCM of:
and

Least Common Multiple of 9920 and 9925

LCM of 9920 and 9925 is 19691200

Least common multiple can be found by multiplying the highest exponent prime factors of 9920 and 9925. First we will calculate the prime factors of 9920 and 9925.

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 9925


5 9925
5 1985
397 397
1

Prime factors of 9925 are 5,397. Prime factorization of 9925 in exponential form is:

9925 = 52×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 9920 and 9925.

LCM(9920,9925) = 26×52×311×3971
LCM(9920,9925) = 19691200

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 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1, 5, 25, 397, 1985, 9925

Least Common Multiple of 9920 and 9925 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 9925, than apply into the LCM equation.

GCF(9920,9925) = 5
LCM(9920,9925) = ( 9920 × 9925) / 5
LCM(9920,9925) = 98456000 / 5
LCM(9920,9925) = 19691200

Properties of LCM 9920 and 9925

(i) The LCM of 9925 and 9920 is associative

LCM of 9920 and 9925 = LCM of 9925 and 9920

Related Least Common Multiples of 9920

Related Least Common Multiples of 9925

Frequently Asked Questions on LCM of 9920 and 9925

1. What is the LCM of 9920 and 9925?

Answer: LCM of 9920 and 9925 is 19691200.

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 9925?

Answer: Factors of 9925 are 1, 5, 25, 397, 1985, 9925. There are 6 integers that are factors of 9925. The greatest factor of 9925 is 9925.

4. How to Find the LCM of 9920 and 9925?

Answer:

Least Common Multiple of 9920 and 9925 = 19691200

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 9925

9925 = 5 x 5 x 397

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

LCM = 19691200 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 31 x 397

Step 4: Therefore, the least common multiple of 9920 and 9925 is 19691200.