Least Common Multiple of 9870 and 9875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9870 and 9875 the smallest integer that is 19493250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9870 and 9875 is 19493250.

LCM(9870,9875) = 19493250

LCM of 9870 and 9875

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

LCM of:
and

Least Common Multiple of 9870 and 9875

LCM of 9870 and 9875 is 19493250

Least common multiple can be found by multiplying the highest exponent prime factors of 9870 and 9875. First we will calculate the prime factors of 9870 and 9875.

Prime Factorization of 9870


2 9870
3 4935
5 1645
7 329
47 47
1

Prime factors of 9870 are 2, 3, 5, 7,47. Prime factorization of 9870 in exponential form is:

9870 = 21×31×51×71×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9870 and 9875.

LCM(9870,9875) = 21×31×53×71×471×791
LCM(9870,9875) = 19493250

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870

Factors of 9875

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

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

Least Common Multiple of 9870 and 9875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9870 and 9875, than apply into the LCM equation.

GCF(9870,9875) = 5
LCM(9870,9875) = ( 9870 × 9875) / 5
LCM(9870,9875) = 97466250 / 5
LCM(9870,9875) = 19493250

Properties of LCM 9870 and 9875

(i) The LCM of 9875 and 9870 is associative

LCM of 9870 and 9875 = LCM of 9875 and 9870

Related Least Common Multiples of 9870

Related Least Common Multiples of 9875

Frequently Asked Questions on LCM of 9870 and 9875

1. What is the LCM of 9870 and 9875?

Answer: LCM of 9870 and 9875 is 19493250.

2. What are the Factors of 9870?

Answer: Factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870. There are 32 integers that are factors of 9870. The greatest factor of 9870 is 9870.

3. 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.

4. How to Find the LCM of 9870 and 9875?

Answer:

Least Common Multiple of 9870 and 9875 = 19493250

Step 1: Find the prime factorization of 9870

9870 = 2 x 3 x 5 x 7 x 47

Step 2: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

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

LCM = 19493250 = 2 x 3 x 5 x 5 x 5 x 7 x 47 x 79

Step 4: Therefore, the least common multiple of 9870 and 9875 is 19493250.