Least Common Multiple of 9870 and 9874

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 9874 the smallest integer that is 48728190 that is divisible by both numbers.

Least Common Multiple (LCM) of 9870 and 9874 is 48728190.

LCM(9870,9874) = 48728190

LCM of 9870 and 9874

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

LCM of:
and

Least Common Multiple of 9870 and 9874

LCM of 9870 and 9874 is 48728190

Least common multiple can be found by multiplying the highest exponent prime factors of 9870 and 9874. First we will calculate the prime factors of 9870 and 9874.

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 9874


2 9874
4937 4937
1

Prime factors of 9874 are 2,4937. Prime factorization of 9874 in exponential form is:

9874 = 21×49371

Now multiplying the highest exponent prime factors to calculate the LCM of 9870 and 9874.

LCM(9870,9874) = 21×31×51×71×471×49371
LCM(9870,9874) = 48728190

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 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1, 2, 4937, 9874

Least Common Multiple of 9870 and 9874 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 9874, than apply into the LCM equation.

GCF(9870,9874) = 2
LCM(9870,9874) = ( 9870 × 9874) / 2
LCM(9870,9874) = 97456380 / 2
LCM(9870,9874) = 48728190

Properties of LCM 9870 and 9874

(i) The LCM of 9874 and 9870 is associative

LCM of 9870 and 9874 = LCM of 9874 and 9870

Related Least Common Multiples of 9870

Related Least Common Multiples of 9874

Frequently Asked Questions on LCM of 9870 and 9874

1. What is the LCM of 9870 and 9874?

Answer: LCM of 9870 and 9874 is 48728190.

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 9874?

Answer: Factors of 9874 are 1, 2, 4937, 9874. There are 4 integers that are factors of 9874. The greatest factor of 9874 is 9874.

4. How to Find the LCM of 9870 and 9874?

Answer:

Least Common Multiple of 9870 and 9874 = 48728190

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 9874

9874 = 2 x 4937

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

LCM = 48728190 = 2 x 3 x 5 x 7 x 47 x 4937

Step 4: Therefore, the least common multiple of 9870 and 9874 is 48728190.