Least Common Multiple of 9856 and 9862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9856 and 9862 the smallest integer that is 48599936 that is divisible by both numbers.

Least Common Multiple (LCM) of 9856 and 9862 is 48599936.

LCM(9856,9862) = 48599936

LCM of 9856 and 9862

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

LCM of:
and

Least Common Multiple of 9856 and 9862

LCM of 9856 and 9862 is 48599936

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9862. First we will calculate the prime factors of 9856 and 9862.

Prime Factorization of 9856


2 9856
2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 9856 are 2, 7,11. Prime factorization of 9856 in exponential form is:

9856 = 27×71×111

Prime Factorization of 9862


2 9862
4931 4931
1

Prime factors of 9862 are 2,4931. Prime factorization of 9862 in exponential form is:

9862 = 21×49311

Now multiplying the highest exponent prime factors to calculate the LCM of 9856 and 9862.

LCM(9856,9862) = 27×71×111×49311
LCM(9856,9862) = 48599936

Factors of 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1, 2, 4931, 9862

Least Common Multiple of 9856 and 9862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9856 and 9862, than apply into the LCM equation.

GCF(9856,9862) = 2
LCM(9856,9862) = ( 9856 × 9862) / 2
LCM(9856,9862) = 97199872 / 2
LCM(9856,9862) = 48599936

Properties of LCM 9856 and 9862

(i) The LCM of 9862 and 9856 is associative

LCM of 9856 and 9862 = LCM of 9862 and 9856

Related Least Common Multiples of 9856

Related Least Common Multiples of 9862

Frequently Asked Questions on LCM of 9856 and 9862

1. What is the LCM of 9856 and 9862?

Answer: LCM of 9856 and 9862 is 48599936.

2. What are the Factors of 9856?

Answer: Factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856. There are 32 integers that are factors of 9856. The greatest factor of 9856 is 9856.

3. What are the Factors of 9862?

Answer: Factors of 9862 are 1, 2, 4931, 9862. There are 4 integers that are factors of 9862. The greatest factor of 9862 is 9862.

4. How to Find the LCM of 9856 and 9862?

Answer:

Least Common Multiple of 9856 and 9862 = 48599936

Step 1: Find the prime factorization of 9856

9856 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 9862

9862 = 2 x 4931

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

LCM = 48599936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 4931

Step 4: Therefore, the least common multiple of 9856 and 9862 is 48599936.