Least Common Multiple of 9874 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 9874 and 9878 the smallest integer that is 48767686 that is divisible by both numbers.

Least Common Multiple (LCM) of 9874 and 9878 is 48767686.

LCM(9874,9878) = 48767686

LCM of 9874 and 9878

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

LCM of:
and

Least Common Multiple of 9874 and 9878

LCM of 9874 and 9878 is 48767686

Least common multiple can be found by multiplying the highest exponent prime factors of 9874 and 9878. First we will calculate the prime factors of 9874 and 9878.

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

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 9874 and 9878.

LCM(9874,9878) = 21×111×4491×49371
LCM(9874,9878) = 48767686

Factors of 9874

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

1, 2, 4937, 9874

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 9874 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 9874 and 9878, than apply into the LCM equation.

GCF(9874,9878) = 2
LCM(9874,9878) = ( 9874 × 9878) / 2
LCM(9874,9878) = 97535372 / 2
LCM(9874,9878) = 48767686

Properties of LCM 9874 and 9878

(i) The LCM of 9878 and 9874 is associative

LCM of 9874 and 9878 = LCM of 9878 and 9874

Related Least Common Multiples of 9874

Related Least Common Multiples of 9878

Frequently Asked Questions on LCM of 9874 and 9878

1. What is the LCM of 9874 and 9878?

Answer: LCM of 9874 and 9878 is 48767686.

2. 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.

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 9874 and 9878?

Answer:

Least Common Multiple of 9874 and 9878 = 48767686

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

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 = 48767686 = 2 x 11 x 449 x 4937

Step 4: Therefore, the least common multiple of 9874 and 9878 is 48767686.