Least Common Multiple of 9873 and 9878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9873 and 9878 the smallest integer that is 97525494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9873 and 9878 is 97525494.

LCM(9873,9878) = 97525494

LCM of 9873 and 9878

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

LCM of:
and

Least Common Multiple of 9873 and 9878

LCM of 9873 and 9878 is 97525494

Least common multiple can be found by multiplying the highest exponent prime factors of 9873 and 9878. First we will calculate the prime factors of 9873 and 9878.

Prime Factorization of 9873


3 9873
3 3291
1097 1097
1

Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:

9873 = 32×10971

Prime Factorization of 9878


2 9878
11 4939
449 449
1

Prime factors of 9878 are 2, 11,449. Prime factorization of 9878 in exponential form is:

9878 = 21×111×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 9873 and 9878.

LCM(9873,9878) = 21×32×111×4491×10971
LCM(9873,9878) = 97525494

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1, 3, 9, 1097, 3291, 9873

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1, 2, 11, 22, 449, 898, 4939, 9878

Least Common Multiple of 9873 and 9878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9873 and 9878, than apply into the LCM equation.

GCF(9873,9878) = 1
LCM(9873,9878) = ( 9873 × 9878) / 1
LCM(9873,9878) = 97525494 / 1
LCM(9873,9878) = 97525494

Properties of LCM 9873 and 9878

(i) The LCM of 9878 and 9873 is associative

LCM of 9873 and 9878 = LCM of 9878 and 9873

Related Least Common Multiples of 9873

Related Least Common Multiples of 9878

Frequently Asked Questions on LCM of 9873 and 9878

1. What is the LCM of 9873 and 9878?

Answer: LCM of 9873 and 9878 is 97525494.

2. What are the Factors of 9873?

Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.

3. What are the Factors of 9878?

Answer: Factors of 9878 are 1, 2, 11, 22, 449, 898, 4939, 9878. There are 8 integers that are factors of 9878. The greatest factor of 9878 is 9878.

4. How to Find the LCM of 9873 and 9878?

Answer:

Least Common Multiple of 9873 and 9878 = 97525494

Step 1: Find the prime factorization of 9873

9873 = 3 x 3 x 1097

Step 2: Find the prime factorization of 9878

9878 = 2 x 11 x 449

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

LCM = 97525494 = 2 x 3 x 3 x 11 x 449 x 1097

Step 4: Therefore, the least common multiple of 9873 and 9878 is 97525494.