Least Common Multiple of 9888 and 9892

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 9892 the smallest integer that is 24453024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9888 and 9892 is 24453024.

LCM(9888,9892) = 24453024

LCM of 9888 and 9892

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

LCM of:
and

Least Common Multiple of 9888 and 9892

LCM of 9888 and 9892 is 24453024

Least common multiple can be found by multiplying the highest exponent prime factors of 9888 and 9892. First we will calculate the prime factors of 9888 and 9892.

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 9892


2 9892
2 4946
2473 2473
1

Prime factors of 9892 are 2,2473. Prime factorization of 9892 in exponential form is:

9892 = 22×24731

Now multiplying the highest exponent prime factors to calculate the LCM of 9888 and 9892.

LCM(9888,9892) = 25×31×1031×24731
LCM(9888,9892) = 24453024

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 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1, 2, 4, 2473, 4946, 9892

Least Common Multiple of 9888 and 9892 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 9892, than apply into the LCM equation.

GCF(9888,9892) = 4
LCM(9888,9892) = ( 9888 × 9892) / 4
LCM(9888,9892) = 97812096 / 4
LCM(9888,9892) = 24453024

Properties of LCM 9888 and 9892

(i) The LCM of 9892 and 9888 is associative

LCM of 9888 and 9892 = LCM of 9892 and 9888

Related Least Common Multiples of 9888

Related Least Common Multiples of 9892

Frequently Asked Questions on LCM of 9888 and 9892

1. What is the LCM of 9888 and 9892?

Answer: LCM of 9888 and 9892 is 24453024.

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 9892?

Answer: Factors of 9892 are 1, 2, 4, 2473, 4946, 9892. There are 6 integers that are factors of 9892. The greatest factor of 9892 is 9892.

4. How to Find the LCM of 9888 and 9892?

Answer:

Least Common Multiple of 9888 and 9892 = 24453024

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 9892

9892 = 2 x 2 x 2473

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

LCM = 24453024 = 2 x 2 x 2 x 2 x 2 x 3 x 103 x 2473

Step 4: Therefore, the least common multiple of 9888 and 9892 is 24453024.