Least Common Multiple of 9875 and 9880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9875 and 9880 the smallest integer that is 19513000 that is divisible by both numbers.

Least Common Multiple (LCM) of 9875 and 9880 is 19513000.

LCM(9875,9880) = 19513000

LCM of 9875 and 9880

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

LCM of:
and

Least Common Multiple of 9875 and 9880

LCM of 9875 and 9880 is 19513000

Least common multiple can be found by multiplying the highest exponent prime factors of 9875 and 9880. First we will calculate the prime factors of 9875 and 9880.

Prime Factorization of 9875


5 9875
5 1975
5 395
79 79
1

Prime factors of 9875 are 5,79. Prime factorization of 9875 in exponential form is:

9875 = 53×791

Prime Factorization of 9880


2 9880
2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 9880 are 2, 5, 13,19. Prime factorization of 9880 in exponential form is:

9880 = 23×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9875 and 9880.

LCM(9875,9880) = 23×53×131×191×791
LCM(9875,9880) = 19513000

Factors of 9875

List of positive integer factors of 9875 that divides 9875 without a remainder.

1, 5, 25, 79, 125, 395, 1975, 9875

Factors of 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880

Least Common Multiple of 9875 and 9880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9875 and 9880, than apply into the LCM equation.

GCF(9875,9880) = 5
LCM(9875,9880) = ( 9875 × 9880) / 5
LCM(9875,9880) = 97565000 / 5
LCM(9875,9880) = 19513000

Properties of LCM 9875 and 9880

(i) The LCM of 9880 and 9875 is associative

LCM of 9875 and 9880 = LCM of 9880 and 9875

Related Least Common Multiples of 9875

Related Least Common Multiples of 9880

Frequently Asked Questions on LCM of 9875 and 9880

1. What is the LCM of 9875 and 9880?

Answer: LCM of 9875 and 9880 is 19513000.

2. What are the Factors of 9875?

Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.

3. What are the Factors of 9880?

Answer: Factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880. There are 32 integers that are factors of 9880. The greatest factor of 9880 is 9880.

4. How to Find the LCM of 9875 and 9880?

Answer:

Least Common Multiple of 9875 and 9880 = 19513000

Step 1: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

Step 2: Find the prime factorization of 9880

9880 = 2 x 2 x 2 x 5 x 13 x 19

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

LCM = 19513000 = 2 x 2 x 2 x 5 x 5 x 5 x 13 x 19 x 79

Step 4: Therefore, the least common multiple of 9875 and 9880 is 19513000.