Least Common Multiple of 9888 and 9894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9888 and 9894 the smallest integer that is 16305312 that is divisible by both numbers.

Least Common Multiple (LCM) of 9888 and 9894 is 16305312.

LCM(9888,9894) = 16305312

LCM of 9888 and 9894

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

LCM of:
and

Least Common Multiple of 9888 and 9894

LCM of 9888 and 9894 is 16305312

Least common multiple can be found by multiplying the highest exponent prime factors of 9888 and 9894. First we will calculate the prime factors of 9888 and 9894.

Prime Factorization of 9888


2 9888
2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 9888 are 2, 3,103. Prime factorization of 9888 in exponential form is:

9888 = 25×31×1031

Prime Factorization of 9894


2 9894
3 4947
17 1649
97 97
1

Prime factors of 9894 are 2, 3, 17,97. Prime factorization of 9894 in exponential form is:

9894 = 21×31×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9888 and 9894.

LCM(9888,9894) = 25×31×171×971×1031
LCM(9888,9894) = 16305312

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

Least Common Multiple of 9888 and 9894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9888 and 9894, than apply into the LCM equation.

GCF(9888,9894) = 6
LCM(9888,9894) = ( 9888 × 9894) / 6
LCM(9888,9894) = 97831872 / 6
LCM(9888,9894) = 16305312

Properties of LCM 9888 and 9894

(i) The LCM of 9894 and 9888 is associative

LCM of 9888 and 9894 = LCM of 9894 and 9888

Related Least Common Multiples of 9888

Related Least Common Multiples of 9894

Frequently Asked Questions on LCM of 9888 and 9894

1. What is the LCM of 9888 and 9894?

Answer: LCM of 9888 and 9894 is 16305312.

2. What are the Factors of 9888?

Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.

3. What are the Factors of 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

4. How to Find the LCM of 9888 and 9894?

Answer:

Least Common Multiple of 9888 and 9894 = 16305312

Step 1: Find the prime factorization of 9888

9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

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

LCM = 16305312 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 97 x 103

Step 4: Therefore, the least common multiple of 9888 and 9894 is 16305312.